If t= 9 m, what is the area of the triangle?
71
Enter the answer in the box

If T= 9 M, What Is The Area Of The Triangle?71Enter The Answer In The Box

Answers

Answer 1

Answer: 1134 m^2

Step-by-step explanation:

First, you would plug in "9" to replace the variable. It would be 7(9) and 4(9). Parenthesis means multiplication.

Then, you would multiply. 7 x 9 = 63, 4 x 9 = 36

The area of a triangle is bh/2. So, 63x36=2268, 2268/2=1134.

I believe the answer is 1134 m^2.


Related Questions

2/6 - Write an equation to represent the word phrase: Twice the sum of a number and 11 is 34 Use the variable h to represent the unknown amount. Equation: Show your steps below as to how you solved the equation.​

Answers

The equation of the word phrase is 2(h + 11) = 34

How to determine the equation of the phrase

From the question, we have the following parameters that can be used in our computation:

Twice the sum of a number and 11 is 34

Represent the variable with h

So, we have the following representation

Twice the sum of h and 11 is 34

Express the sum

This gives

Twice h + 11 is 34

Next, we have

2(h + 11) is 34

Express as equation

2(h + 11) = 34

Hence, the equation is 2(h + 11) = 34

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please help , will give brainlest

Answers

180-135-25 = 20
The answer is 20

Answer:

20o

Step-by-step explanation:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180o.

so 25 + 135 + ? = 180

? = 180 - 25 - 135

? = 20

A shop sells fruit and vegetables
Gaya buys 1 orange and 1 cauliflower
she pays £1.25
Esteban buys 3 oranges and 1 cauliflower
He pays 1.95
Work out the price of one orange in pounds (£)

Answers

Answer:

[tex]\boxed{0.49}[/tex]

Step-by-step explanation:

To find the price of one orange, we need to determine how much Gaya and Esteban paid for their oranges in total and then divide that amount by the number of oranges they bought.Gaya paid £1.25 for 1 orange and 1 cauliflower, so she paid £1.25 for her orange.Esteban paid £1.95 for 3 oranges and 1 cauliflower, so he paid £1.95 - £1.25 = £0.70 for his 3 oranges.In total, Gaya and Esteban paid £1.25 + £0.70 = £1.95 for 4 oranges.So, the price of one orange is £1.95 / 4 = £<<1.95/4=0.49>>0.49. Answer: \boxed{0.49}.

on a dating site, users can select 5 out of 24 adjectives to describe themselves. a match is declared between two users if they match on at least 4 adjectives. if alice and bob randomly pick adjectives, what is the probability that they form a match

Answers

The probability that Alice and Bob form a match is [tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex].

To answer the question, we use the probability by its complement.

What is Complement of An Event?

The complement of an event is the subset of outcomes in the sample space that are not in the event. A complement is itself an event.

In this case, probability space is ([tex]^{24} C_{5}[/tex])^2 where there is match for 4 or 5.

For number of ways for 5 adjectives match is ([tex]^{24} C_{5}[/tex]).

For number of ways for 4 adjectives match is ([tex]^{24} C_{4}[/tex])*20*19.

We first choose 4 adjectives which are match and then there are 20*19 ways for both of them to choose an adjective each from remaining 20 adjectives.

Then, the desired probability is:

[tex]^{24} C_{5}[/tex] * (([tex]^{24} C_{4}[/tex])*20*19) / [tex]^{24} C_{5}[/tex] * [tex]^{24} C_{5}[/tex]

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Calculate the double integral.

3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R

Answers

the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}

∫∫3xy2 dx dy = 16

We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:

∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy

Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:

∫0→1 3xy2 dx = x3y2 + c

Now, we can substitute this expression into the double integral, giving us:

∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy

Finally, we can integrate this expression with respect to y, giving us the following:

∫∫3xy2 dx dy = x3y3 + cy + d

Now, we can substitute the limits of integration into this expression, giving us the following:

∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16

therefore, the double integral is equal to 16.

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Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax
$40.00
8%
The sales tax is $

Answers

The sales tax on the good based on the selling price that is given will be $3.20.

How to calculate the sales tax?

It should be noted that the sales tax simply means the tax that's levied on the goods and services that are sold by.

Based on the information given, the following can be deduced:

Sales tax Percentage = 8%

Price of good = $40

In this situation, in order to calculate the sales tax, we will have to multiply the sales tax percentage by the amount of the good which is the selling price. This will be:

Sales tax = Sales tax percentage × Price

Sales tax = 8% × $40

Sales tax = 0.08 × $40

Sale tax = $3.20

Therefore, the sales tax is $3.20.

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peterson's solution is a valid solution to the critical section problem on modern multi-core systems. true false

Answers

Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system  so it is false.

What is multi core system?

A multicore processors is an electronic component that has two or more processor cores attached for higher performance and lower power consumption. These processors also enable more efficient execution of numerous activities, such as with parallelization and multithreading.

Here,

It is because of the following disadvantages:

Although Peterson's technique is effective for two processes, it is the best plan for the important part in user mode.

Additionally, this solution involves busy waiting, wasting CPU time. So that “SPIN LOCK” problem can emerge. And any busy waiting solution may encounter this issue.

Therefore, Peterson's solution is not a valid solution to the critical section problem on modern multi-core system  so it is false.

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! a school has 25 classrooms and an office. an inercom system connects the classrooms to each other and to the office. what is the total number of classroom to classroom and classroom to office connections?

what i need is an explanation

Answers

Answer:

650 connections

Step-by-step explanation:

Each classroom has 25 connections including the office, therefore 26classrooms(including the office) are connected to 25 places: 26*25=650 connections

Score: /1 Attempts: 30. For a perfectly symmetrical distribution, which relationship... For a perfectly symmetrical distribution, which relationship is always true? 9 Mean = median = mode Median= mode O Mean mode O Mean - median

Answers

For a perfectly symmetrical Distribution, the perfect relationship is

Mean = Median.

A symmetric distribution is when the values ​​of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.

A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.

The Properties of Symmetrical distribution is :

Mean.MedianMode.

Mean:

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values ​​(magnitude and sign) of a particular data set.

For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values ​​divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.

Median:

The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.

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PLEASE HELP THIS IS WORTH 12 points and you will be marked as brainliest !!!!!!!!! REALLY URGENT !!!!!
------------------
Figure JKLM below is dilated with a scale factor of 1/4 . Match the appropriate coordinates for J' K' L' M' (after dilation) .

Basically what is :

(4,8) x 1/4 = ?

(4,-8) x 1/4 =?

(-8,0) x 1/4 = ?

(8,0) x 1/4 =?

Answers

Step-by-step explanation:

so, for (4, 8) × 1/4, what is 4×1/4 ? and what is 8×1/4 ?

(1, 2)

similar for (4, -8) it is (1, -2).

similar for (-8, 0) it is (-2, 0).

similar for (8, 0) it is (2, 0).

that's it. that's really all there is to it. you multiply all the coordinates by the scale factor.

how is jamal's wealth affected by an investment when the stakes are small? it is affected by a small amount in either a positive or a negative direction. it is affected more if the probability is great than if the probability is small. it is impacted more if the return is positive than if it is negative. it is impacted by a great deal in either a positive or a negative direction.

Answers

Jamal's wealth will be affected positively and negatively depending on the investment probability

If Jamal makes a small investment and the stakes are small, the small amount can affect his wealth in a positive or negative direction. The magnitude of the impact depends on the investment's probability of success and the investment's potential return.

If the probability of success is high and the potential return is positive, the impact on Jamal's net worth could be greater. On the other hand, a low probability of success and a negative potential return may have less impact on Jamal's fortunes.

Ultimately, the impact of a small investment on Jamal's wealth will depend on the specific details of the investment and the associated risks and potential rewards.

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You would like to know how effective a diet program is at helping people lose weight. 18 over-weight people are randomly selected to participate in the program. They are weighed before and after the program and the results are listed below. Do these results give evidence that the diet program is effective at the 1% significance level? Participant 1 2 4 5 6 Before 185 220 190 158 227 211 After 175 215 195 155 230 207 Participant | 7 ー 19 | 10 |11 | 12 | Before 260 156 201 300 180 270 Afer 258 159 201 290 172 272 Participant 13 14 15 16 17 18 Before 293 183 |205 151 291 166 After 290 185 200 146 287 166

Answers

The claim that a drug is effective at 1% is not sufficiently supported by the available data.

Participant 1 2 3 4 5 6

Before 185 220 190 158 227 211

After 175 215 195 155 230 207

Difference = Before - After = 10 5 -5 3  -3 4

Participant 7 8 9 10 11 12

Before 260 156 201 300 180 270

After 258 159 201 290 172 272

Difference = Before - After = 2 -3 0 10  8 -2

Participant 13 14 15 16 17 18

Before 293 183 205 151 291 166

After 290 185 200 146 287 166

Difference = Before - After = -7 -2 5 5  4 0

Hypothesis :

H0 : μd = 0

H0 : μd ≠ 0

10+5-5+3-3+4+2-3+10+8-2+3-2+5+5+4+0 = 44

The mean of d, [tex]d`[/tex] = Σd / n = 44 / 18 = 2.44

The standard deviation, S.d = 4.45 (using calculator)

The test statistic, T : [tex]d`[/tex] / (S.d/√n)

T = 2.44 / (4.45/√18)

T = 2.44 / 1.0488750

T = 2.326

Degree of freedom, df = n - 1 ; 18 - 1 = 17

P value = 0.0326

α = 0.01

Since P value < α ; we fail to reject H0

So the claim that a drug is effective at 1% is not sufficiently supported by the available data.

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Solve pls brainliest

Answers

Answer:

3. 44 root= between 6 and 7 (more on the 7 side)

a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the value of the test statistic is\

Answers

The value of test statistics  as calculated from the given data is 0.092.

p = 1 - P(Z < Z')

Z' = (8200-8000)/ (1500/√100)

Z'= 1.3

p = 1 - P(Z < Z')

= 1 - P(Z < 1.3)

= 1 - 0.908

= 0.092

The Z-score, also known as the standard score, indicates how far a data point deviates from the mean. It represents the number of standard deviations an element has from the mean. As a result, the Z-Score is expressed in terms of standard deviation from the mean.

A z score is a statistical measurement that indicates how far a raw score deviates from the mean of a distribution. A z score is used in a z test to test hypotheses. It is also used in prediction intervals to calculate the likelihood of a random variable falling between two values.

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Someone please answer this question it is in the picture I will give you brainliest and your getting 50 points no fraud answers.

Answers

Answer: a=9 b=11

Step-by-step explanation:

This is a parallelogram; we know by the definition of the shape that the opposites sides are congruent.

That means a, the opposite of the 9, is 9.

That means b, the opposite of the 11, is 11.

What is the variable? -7+4x=5

Answers

Answer: x =3

Step-by-step explanation:

-7+4x=5

4x = 12

x =3

Answer:x=3 good luck You got this one

Step-by-step explanation:

-7+4x=5

Move the constant to the right-hand side and change its sign

4x=5+7

Add the numbers

4x=12

Divide both sides of the equation by 4

x=3

8.4 Area Between Two Curves Homework Name Date Period Problems 1 - 12, Sketch the region bounded by the graphs of the equations and find its area. 1. y = x2: y = 4x 2. y = x + 1: y = 5 3. x=y2; x - y = 2 4. ya = 4+x: y2 + x = 2

Answers

the area between first two curves is 10.67-unit, 2nd two curves is 8-unit, 3rd two curves is 7.5 unit, and the last two curves is

How can we calculate the area between two curves?

area bounded by two curves means the curves have intersected each other and we can determine the point of intersection of them. In the next we apply the integration with limit formula for the equation of curves in where the point of intersection acts as the upper and lower limit.

Does the area always positive?

while determining area we get either negative value or positive value depending on the position of curve in the xy  coordinate but in real life the value of area is written as a positive number.

1. the curve y=x² and y=4x

let the two curves intersects each other so x²- 4x= 0

                                                    x=0, 4

                                   for this value of x, we determine the values of y

                                  y= 0, 16

  now we determine the area between two curves by using the formula, ∫x²dx-∫4xdx

            ∫₀⁴(x²-4x) dx

               [1/3×x³-³4/2×x²]₀⁴

   area = -10.67

2. the curves y=x+1 and y=5 is intersected as we need to calculate the area bounded by them, 5=x+1 and x=4

for x=4, we get y= 5

now the area will be ∫₀⁴(x+1-5)dx

                                     [1/2x²- 4x] ⁴

                                 area= -8 unit

3. in case of 3rd two curves, x=y² and x-y=2

                                   y²-y=2, hence y= -1, 2

   the x values are x= 1, 4

the area bunded by them is ∫₋²₁{y²-(y-2)}dy

                                [1/3y³-1/2y²+2y]₋²₁

                                area =7.5 unit

4. from the last two curves y=4+x, y²= 2-x

  hence, the area calculated are 10.67-unit, 8 unit and 7.5 unit respectively.

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Which is an example of a defined term A. Point B. Line C. Ray D. Plane​

Answers

Answer: c:ray

Step-by-step explanation:

A ray is like a line, but the line takes off in one direction to infinity while the other side is like a line segment. The end of the line is called the endpoint. That's why it is a defined term.

sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. the relative cumulative frequency of students who earned a score of 20 or lower on the quiz is . 14% 68% 28% 34%

Answers

The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is: B. 68%.

What is a frequency table?

In Mathematics and Statistics, a frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

How to calculate cumulative frequency?

In Mathematics and Statistics, the cumulative frequency of a data set can be calculated by adding each frequency from a frequency distribution table to the sum of the preceding frequency. Thus, the relative cumulative frequency would be calculated as follows;

Cumulative frequency of students = 4 + 8 + 15 + 7 = 34.

Cumulative frequency of students = 34.

Total frequency = 4 + 8 + 15 + 7 + 7 + 3 + 4 + 2

Total frequency = 50.

Therefore, the relative cumulative frequency can now be determined;

Relative cumulative frequency = 34/50

Relative cumulative frequency = 0.68 or 68%

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Answer:

68%

Step-by-step explanation:

Got it right.

an automobile assembly line runs for 9 3/4 hours each day. employees work 3/4-hour shifts. how many shifts are there in each day
A. 9 shifts
B. 10 shifts
C. 12 shifts
D. 13 shifts


Answers

Answer:

D 13 shirt

Step-by-step explanation:

9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]

[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13

I need to simplify the exponent for my math test asap.

Answers

Y^8/x^3 is the answer

Match each pair of points to the slope of the line that joins them.
Pair of Points
a. (9, 10) and (7.2)
b. (-8, -11) and (-1,-5)
c. (5, -6) and (2, 3)
d. (6, 3) and (5, -1)
e. (4,7) and (6,2)
4
-3
Slope
52 67

Answers

The slope of each pair point is listed below:

Case A: m = - 4

Case B: m = 6 / 7

Case C: m = - 3

Case D: m = 4

Case E: m = - 5 / 2

How to determine the slope of a secant line

In this problem we find five cases of two points that are part of a line, whose slope (m) can be calculated by means of secant line formula:

m = (y₂ - y₁) / (x₂ - x₁)

Where:

x₁, y₁ - Coordinates of the initial point.x₂, y₂ - Coordinates of the final point.

Now we determine the slope for each case:

Case A:

m = (10 - 2) / (7 - 9)

m = 8 / (- 2)

m = - 4

Case B:

m = [- 5 - (- 11)] / [- 1 - (- 8)]

m = 6 / 7

Case C:

m = [3 - (- 6)] / (2 - 5)

m = 9 / (- 3)

m = - 3

Case D:

m = (- 1 - 3) / (5 - 6)

m = - 4 / (- 1)

m = 4

Case E:

m = (2 - 7) / (6 - 4)

m = - 5 / 2

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Write a compound inequality to represent all of the numbers between 4 and 6. UPLOAD All real number that are between.docx X WRITER All real number that are between 4 and 6. Form of compound inequality the statement represents: Suppose x is real number from statement is the greater than 4 and 6. x>-4 and x<6. The compound inequality written as 4-5} {xIx<5)? the empty set the numbers between -5 and 5 all numbers except -5 and 5 all real numbers

Answers

The compound inequality is -4 < X < 6.

Let X represents the numbers between 4 and 6

X is between 4 and 6. This means that 4 and 6 are not included in the series of numbers. Thus, they are the boundaries of the series of numbers.

The number between 4 and 6 is 5.

To find the compound inequality, we look at the series of numbers. Here, we notice that the number 5 is greater than 4  (the number is greater than 4 because it lies on the right-hand side of 4 on the number line) and the number 5 is smaller than 6 (the number is smaller than 6 because it lies on the left-hand side of 6 on the number line).

Thus, the compound inequality is -4 < X < 6.

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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 Make a list of all the patterns you notice in the number arrangement above. If we were to continue this number arrangement, what would be the middle number on the 50th row? What about the nth row?

Answers

Answer:

chronological

or +1 each number up

Step-by-step explanation:

The middle number on the 50th row is 891.5.

The nth row is 18n - 17.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36

We see that there are 18 numbers in each row.

The numbers are consecutive natural numbers.

Now,

We can see that,

The first number of each row is 1.

The first number of the second row is 19.

The first number of the third row is 37.

The first number in each row can form a series.

1, 19, 37,....

This series is an arithmetic sequence.

First term = 1

Common difference = 18

The nth term is a + (n - 1)d.

50th term.

= 1 + (50 - 1)18

= 1 + 49 x 18

= 1 + 882

= 883

This means,

The 50th row will have the following series.

883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900.

The middle number is the midpoint of 891 and 892.

= 891.5

The nth row.

= 1 + (n - 1)18

= 1 + 18n - 18

= 18n - 17

Thus,

The middle number on the 50th row is 891.5.

The nth row is 18n - 17.

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Think About the Process Karen purchased a DVD player on sale. The orginal selling price was $179.30. The sale price was $154. 15. What is the first step in finding the percent markdown? Find the percent mandowen.

Answers

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percent markdown is 14%.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Original price = $179.30

The selling price = $154.15

The percent markdown.

= (179.30 - 154.15) / 179.30 x 100

= 25.15 / 179.30 x 100

= 14%

Thus,

The percent markdown is 14%.

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Pls help me limited time i’ll give brainliest

Answers

Answer:

2.4 would be the answer i took this before

Step-by-step explanation:

1
Harlan is a real estate agent whose total annual earnings are
the sum of his annual salary and the commission shown. Last
year, Harlan sold 10 homes that totaled $2,500,000 in sales.
How much commission did Harlan earn?
A. The amount of Harlan's sales for the year is $
Harlan will receive
commission amount.
B. Calculate Harlan's commission.
2,500,000 %
Harlan earned a commission of $
C. How do you know your answer is reasonable?
% of his sales as his

Answers

Answer:

commission. This is a common industry practice, and it is reasonable to assume that Harlan earned this percentage from his sales.

Step-by-step explanation:

Write the equation in slope-intercept form of the line that passes through (6, -11) and is parrallel to the graph

Answers

On solving the provided question we can say that  the equation of the line will be  y+11 = 0.

How do you define a slope?

The slope of a line is how steeply it slopes from left to right. The slope of a line is determined by dividing its rise (vertical change) by its slope, which is its horizontal change. Regardless of whatever two locations on the line you pick, the slope of the line is always constant (it never changes).

How do you find slope?

To find the coordinates of two points on the line, choose two. Find the difference between these two locations' y-coordinates (gradients). Find the difference between these two places' x coordinates (runs). Divide the change in the y coordinate by the difference in the x coordinate (slope/history or slope).

Here,

slope, m= 0 as these are parallel line.

so the equation of the line will be

y-y1 = m(x-x1)

y+11 = 0

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Select all ratios equivalent to 1:2.

Answers

Answer:

1/2 & 0.5

Step-by-step explanation:

How many solutions does this system of equations have?
Responses

Exactly two
Exactly two

None
None

Infinitely many
Infinitely many

Exactly one
Exactly one
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.

Answers

Answer: Answer is NONE

Step-by-step explanation:

I took the test

Other Questions
What does prices = list(values) do exactly. I am having a hard time understanding the book. a sets the long-term goals and direction for an organization. multiple choice question. mission strategy model policy the formula for the compound formed between aluminum ions and phosphate ions is ________. question 10 a communication between two devices is over the maximum limit of an ethernet frame size. the transmission control protocol (tcp) splits up the data into segments. which field in the header helps keep track of the many segments? Which of the following is not a criterion for congruence of s a SAS B ASA C SSA D SSS? business reports require planning. before you begin writing a report, you should define the project and gather data. the first step in writing a report is a tire has a tread pattern with a crevice every 2.25 cm. each crevice makes a single vibration as the tire moves. what is the frequency (in hz) of these vibrations if the car moves at 27.2 m/s? The goods must conform to the contract description; be fit for the purposes for which it is intended be even kind quality, and quantity be adequately labeled; and conform to label description. If a seller knows a buyer has a particular purpose for a good and the buyer relies on the sellers skill or judgement in selecting a good an implied warranty of fitness for a particular purpose may be created. getting started for touchstone 2, you will be writing an argumentative essay on a topic of your choice. the topic you choose must be debatable and you must take a clear stand on one side of the issue. your topic must also be on a small enough scale that it is appropriately narrow for a 1,000-1,500 word (3-5 page essay). your essay must include a title, an introductory paragraph, which contains your argumentative thesis statement, at least three body paragraphs, which provide support for your argument and a conclusion paragraph. research from at least two outside sources is required to provide evidence and support for your argument. research must be cited using apa style. you must include a reference page, which lists the specific sources you used and properly cite the sources within your essay. an example essay is provided below for reference. please read this before writing your essay. in order to foster learning and growth, all essays you submit must be newly written specifically for this course. any recycled work will be sent back with a 0, and you will be given one attempt to redo the touchstone. choosing a topic you may choose any topic you wish as long as the topic has two clear sides and is not agreed upon by most of society. your topic should be current and should have a narrow focus appropriate for a 1,000-1,500 word (3-5 page) essay. for a child who follows a totally vegetarian dietary pattern, which nutrients need to be monitored carefully to prevent a deficiency? Which sentence from the excerpt of Dracula supports the idea that the people of Transylvania are superstitious?Draculaby Bram Stoker (excerpt)In the first house where we stopped, when the woman who served us saw the scar on my forehead, she crossed herself and put out two fingers towards me, to keep off the evil eye. I believe they went to the trouble of putting an extra amount of garlic into our food; and I cant abide garlic. Ever since then I have taken care not to take off my hat or veil, and so have escaped their suspicions. We are travelling fast, and as we have no driver with us to carry tales, we go ahead of scandal; but I daresay that fear of the evil eye will follow hard behind us all the way. The Professor seems tireless; all day he would not take any rest, though he made me sleep for a long spell. At sunset time he hypnotized me, and he says that I answered as usual darkness, lapping water and creaking wood; so our enemy is still on the river. I am afraid to think of Jonathan, but somehow I have now no fear for him, or for myself. I write this whilst we wait in a farmhouse for the horses to be got ready. Dr. Van Helsing is sleeping. Poor dear, he looks very tired and old and grey, but his mouth is set as firmly as a conquerors; even in his sleep he is instinct with resolution. When we have well started I must make him rest whilst I drive. I shall tell him that we have days before us, and he must not break down when most of all his strength will be needed.... All is ready; we are off shortly.1. In the first house where we stopped, when the woman who served us saw the scar on my forehead, she crossed herself and put out two fingers towards me, to keep off the evil eye2.Ever since then I have taken care not to take off my hat or veil, and so have escaped their suspicions3.At sunset time he hypnotized me, and he says that I answered as usual darkness, lapping water and creaking wood; 4.Poor dear, he looks very tired and old and grey, but his mouth is set as firmly as a conquerors; even in his sleep he is instinct with resolution. 5. I shall tell him that we have days before us, and he must not break down when most of all his strength will be needed.... figure abcdef was reflected across the line y = x to create figure a'b'c'd'e'f'. what are the coordinates of the pre-image of f'? what is the name of the selection process whereby one plant community is replaced by another until stability is achieved? a) power-driven scaling devices convert electrical energy (ultrasonic) or air pressure (sonic) into high-frequency sound waves. b) sound waves produce rapid mechanical vibrations in the specially designed scaling tips. under patty's leadership the bank of bramblewood would like to increase its loans to customers, but its resources are currently limited by a high reserve rate. as a federal reserve member bank, it will borrow additional funds from the fed and charge its customers an interest rate that is higher than the import standards on certain countries and blanket standards are solutions that some countries use to address y When archeologists excavate a site, they mark it off with a coordinate grid so that they can easilyidentify where artefacts are found and keep a record of the site forever. At the West Kennet LongBarrow in England, a grave site back to 3600 BCE was found. There are three chambers at thecoordinates (7,9), (17, 33) and (-36,41). It has been said that they form an isosceles triangle withheight twice the length of its base.Determine whether the statement is true. Justify your answer. Hint: An isosceles triangle has atleast two sides of equal side lengths. Why did the U.S. Senate refuse to ratify the Treaty of Versailles?a The Senate believed that the treaty would be broken anyway by unstable European governments.b It feared the United States would be forced to intervene in other wars as part of the League of Nations.c It wanted Germany to pay higher reparations to the United States. one study revealed that over the course of 10 years of cohabitation, partners in gay and lesbian relationships showed a(n)