Line A and Line B are perpendicular. The slope of line A is -0.5. What is
the gradient of line B? Give reasons.

Answers

Answer 1

Answer:

Step-by-step explanation:

When 2 lines are perpendicular, their slopes are negative reciprocals of one another.  Here, if the slope of A is -1/2, the slope of B is +2/1, or just 2.


Related Questions

Round 969.991 to the nearest whole number

Answers

Answer:

Round of 969.991

970

Rules of round off

1) If the digit is odd no. the no. will increase to 1

2) if it is even the no. will be same.

What are all the solutions of x² + 3x -4 = 0? Multiple choice


A: -4
B:-2
C:-1
D:0
E:1
F:2
G:4

Answers

Answer :

A and E .

Step-by-step explanation:

-4 and 1 because (x+4)(x-1)=0 is the same as x^2 + 3x - 4 when multiplied. when each term [x + 4, x - 1] is set to zero, using the zero product principle, we get x = -4 or x = 1

A shop increases all their prices by 6%
A picture frame increases by £294
Find the new price of the picture frame.

Answers

Answer:

0riginal price = 4900

Step-by-step explanation:

294 = 6%

294/6 = 49 49 = 1%

49 x 100 = 4900

0riginal price = 4900

N
2. a carpenter wants to cut a wood board that is feet long
into pieces that are feet long. how many whole pieces
can be cut from the board? how much wood is left over
5
16

Answers

i

Step-by-step explanation:

i


[tex]f(x) = \sqrt{9 - {x}^{2} } [/tex]
I have a doubt. I know that the domain will be [-3, 3] because this is a real function. But what will be the range. Everywhere it is given as [0, 3]. But shouldn't it be [-3, 3].

For example let x = 0, then f(x) = √9, and it can be either -3 or 3. Why are we considering just the positive value?

Please explain.​

Answers

Answer:

range of f is [0,3]

Step-by-step explanation:

The "square root" symbol, [tex]\sqrt{\text{ \quad }}[/tex], is a function.  As a result, it only has a single output because functions must only have a single output for each input.

Thinking about it graphically, if the square root function did give both a positive and a negative result, the function "f" would not pass the vertical line test and it would not be a function.

When solving an equation like [tex]x^2=25[/tex], to solve, we must apply the square root property.  The square root property says that to find both solutions, one must look at both the positive and the negative of the square root.  So, to solve:

[tex]x^2=25[/tex]

Apply square root property...

[tex]\sqrt{x^2} = \pm \sqrt{25}[/tex]

[tex]x=\sqrt{25}[/tex]  or  [tex]x=-\sqrt{25}[/tex]

[tex]x=5[/tex]  or  [tex]x=-5[/tex]

In this case, because the square root function itself only outputs non-negative results (so, including zero, as you already identified), the range will only be [0,3].

Jack have 34 toy cars, Mike says he have 3 times more than Jack's toy cars. How many toy cars does Mike have?

Answers

Answer:102

Step-by-step explanation:

34 x 3 = 102

Answer:

102

Step-by-step explanation:

Since Jack has 34 toy cars and Mike has 3 times more than Jack's toys, we should multiply 34 with 3 to get the answer.

34 * 3 = 102

So, this means that Mike has 102 toy cars.\

Hope this helps :)

I require assistance.

Answers

Answer:

its 3.348 - crown pls

Step-by-step explanation:

easiest way of doing this is multiplying the total by the known number then put that number on top. After that divide and check if its right

2.8 + 32x + 1 =16.6

Answers

Answer:

x = 0.4

Step-by-step explanation:

Assuming you are looking for x

2.8 + 32x + 1 = 16.6

32x = 16.6 - 2.8 - 1

32x = 12.8

x = 12.8 : 32

x = 0.4

-----------------------

check

2.8 + 32 * 0.4 + 1 = 16.6

2.8 + 12.8 + 1 = 16.6

16.6 = 16.6

the answer is good

Which function is the result of vertically stretching f(x) = x ^ 2 - 7 by a factor of 2 and translating downward 5 units?

Answers

The function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

The given function f(x) is needed to be stretched vertically by a factor of 2, therefore, the function can be written as,

g(x) = 2(x² - 7) = 2x² - 14

Now, the function is needed to be translated by 5 units in the downward direction, therefore,

p(x) = g(x)-5 = 2x² - 14 -5

p(x) = 2x² - 19

Hence, the function that is the result of vertically stretching f(x) = x²-7 by a factor of 2 and translating downward 5 units is 2x² - 19.

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Which list of numbers is shown on the number line below?

A number line going from negative 3 to positive 2. There are 4 equal spaces between each number. A point is halfway between negative 3 and negative 2. A point is between the second and third mark between negative 2 and negative 1. A point is on the mark 1 space to the right of 0. A point is halfway between 1 and 2.
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Negative 2.5, negative 1 and one-third, 25 percent, 1.5

Answers

Answer:

is A

Step-by-step explanation:

Negative 2.5, 1 and three-fourths, 50 percent, 1.5

Pls Mark Brainliest

Answer:

The first choice on edge / A

Step-by-step explanation:

don't come at me if its wrong

Simplify the expression –3(x 3)2 – 3 3x. what is the simplified expression in standard form?

Answers

[tex]-3(x^{2} +5x+10)[/tex] is the standard form of the given expression

The given expression is:

[tex]=-3(x+3)^{2} -3+3x\\\\=-3*(x^{2} +2*3*x+3^{2} )-3+3x\\\\=-3x^{2} -3*6x-3*9-3+3x\\\\=-3x^{2} -18x-27-3+3x\\\\=-3x^{2} -15x-30\\\\=-3(x^{2} +5x+10)[/tex]

This is the standard form of the given expression.

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If the independent variable is in the rows of a cross-tabulation and the dependent variable is in the columns, which percents do we use for comparisons?

Answers

We make use of the row percentage for comparisons

How to determine the percentage of comparison?

From the question, we have:

Row ⇒ Independent variableColumn ⇒ Dependent variable

The data represented by the independent variable is always used to make comparison

Since this variable is on the rows, then the row percentage would be used for comparisons

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giving 20 points out for this question!

Answers

Answer: £20 doubling at the end of each year for 5 years

From the question, Stephen would want to select one option which gives the highest amount of profit. I mean, even if you were to select one, you would obviously try calculating all the 4 choices to see which one makes you earn the most money. Now let's conduct the workout and see which one will earn us the most £ in 5 years:

Option 1:
[tex](500*\frac{5}{100} ) + 500 ---- > 1yr\\= 25 + 500 \\ = 525\\\\(525*\frac{5}{100} ) + 525 ----- > 2yrs\\= 26.25 + 525\\= 551.25\\\\(551.25 * \frac{5}{100}) + 551.25 - - - > 3yrs\\ = 27.563 + 551.25\\= 578.813\\\\(578.813 * \frac{5}{100}) + 578.813 - - > 4 yrs\\ = 28.941 + 578.813\\ = 607.754 \\\\(607.754 * \frac{5}{100}) + 607.754 - - > 5 yrs\\ = 30.388 + 607.754\\ = 638.142 \\[/tex]

ans: £ 638.142

Option 2:

[tex]1 year = 12 months\\5 years : 5*12 = 60 months\\\\10*60 = 600[/tex]

ans: £ 600

Option 3:

[tex](550*\frac{3}{100}) + 550 - - - - > 1yr\\= 16.5 + 550\\= 566.5 \\\\(566.5 * \frac{3}{100}) + 566.5 - - - > 2 yrs\\ = 16.995 + 566.5\\= 583.495\\\\(583.495 * \frac{3}{100}) + 583.495 - - > 3 yrs\\ =17.505 + 583.495\\= 601\\\\(601 * \frac{3}{100}) + 601 - - - - - - > 4 yrs\\= 18.03 + 601\\= 619.03\\\\( 619.03* \frac{3}{100}) + 619.03 - - - - > 5 yrs\\= 18.571 + 619.03\\= 637.601[/tex]

ans: £ 637.601

Option 4:

[tex]20*2= 40 - - - - > 1yr\\40 * 2= 80 - - -- > 2 yrs\\80*2 = 160 - - - > 3 yrs\\160*2 = 320 - - - > 4 yrs\\320*2= 640 - - - > 5yrs[/tex]

ans: £ 640

Out of all the calculated answers, you can see that option 4 has the highest amount. So that's it. By the way, I might do some incorrections in some calculations because I am not good at long maths, but yes i hope I did it all right!

∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
   hope it helped
┗━━━━━━━┛

Helen bought 3 books and 2 pencil cases. the pencil case cost $8 less than the book. if helen spent $74, how much did a book cost?

Answers

The cost of book case be $ 11.6.

What is linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form

                                       Ax + B = 0.

Here, let the cost of book case be $ x

       and the cost of pencil case be $ y

Now, Helen purchased 3 books and 2 pencils in $ 74.

         3x + 2y = 74    .......(i)

Cost of pencil case $ 8 less than the book.

          y - 8 = x      ............(ii)

put the value of x in equation (i), we get

    3(y - 8) + 2y = 74

    3y - 24 + 2y = 74

    5y = 74 + 24

     5y = 98

      y = 98/5

      y = $ 19.6

put the value of y in equation (ii), we get

   x = y -8

   x = 19.6 - 8

   x = $ 11.6

Thus, the cost of book case be $ 11.6.

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Rotate the given triangle 90 degrees
CLOCKWISE about the origin.
0
0
07
0
-
-3 -4
0 -3
[?]

Answers

The value is [tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]

what is clockwise and counterclockwise?

Clockwise Rotations (CW) mimic the path of a clock's hands.

Negative numbers are used to represent these rotations. Counterclockwise rotations (CCW) follow the path of a clock's hands in the opposite direction.

Now, rotating 90 degree clockwise we get

[tex]\left[\begin{array}{ccc}0&3&4\\0&7&-1\end{array}\right][/tex]

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What is another way to write the absolute value inequality p ≤ 12? O-12≤p≤ 12 O-122p≤12 O-12 ≤por p≤ 12 -122P or p≤ 12 958 What is another way to write the absolute value inequality p ≤ 12 ? O - 12≤p≤ 12 O - 122p≤12 O - 12 ≤por p≤ 12 -122P or p≤ 12 958​

Answers

Answer:

-12 ≤ p ≤ 12

Step-by-step explanation:

If the absolute value inequality is

|p| ≤ 12,

then the answer is

-12 ≤ p ≤ 12

Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.

Answers

Using the Poisson distribution, it is found that:

The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.

What is the Poisson distribution?

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.

In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]

Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:

M = 30 x 0.0992 = 2.976.

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Which angle refers to the same angle as \angle DAC∠DACangle, D, A, C?

Answers

Answer:

Option

Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.

How do you write an effective explanation to explain this problem?

Answers

The error happens in the last line.

The relevant log rule is ln(A) - ln(B) = ln(A/B)

The issue is that the 0 isn't ln(0), so that 0 cannot be thrown into the natural log like that.

What we can do is this set of steps

ln(3x) - 0

ln(3x) - ln(1)

ln(3x/1) ... applying the log rule mentioned

ln(3x)

But these steps are a needlessly overcomplicating things. We can simply go from ln(3x)-0 to ln(3x) in one step. Subtracting off zero doesn't change ln(3x) at all.

--------------------------

Let's continue the steps to solve for x.

ln(x^2) = ln(3x)

x^2 = 3x

x^2-3x = 0

x(x-3) = 0

x = 0 or x-3 = 0

x = 0 or x = 3

Those are the two possible solutions.

However, x = 0 isn't valid because it's not in the domain of ln(x^2). In other words, ln(0) isn't defined. The domain of y = ln(x) is x > 0

This means that x = 3 is the only solution.

Can you answer the question

Answers

Step-by-step explanation:

Hi There! Let me help you :)

[tex] = 8.8.8.8.8.8.8[/tex]

[tex] = ( \text{there \: are \: 7 \:numbers \: eight })[/tex]

[tex] \: [/tex]

So we can rewrite the above equation to be like this.

[tex] = 8.8.8.8.8.8.8[/tex]

[tex] = 8.(1 + 1 + 1 + 1 + 1 + 1 +1)[/tex]

[tex] = 8.7[/tex]

What is the answer for the question down below

Answers

Answer:

This is the ray BA

Step-by-step explanation:

Ray can be defined as a part of a line that has a fixed starting point but no end point.

The starting point is B and on its way to infinity, it passes through point A.

Correct sign is

[tex]\huge\boxed{\overrightarrow{BA}}[/tex]

What is the value of x in the figure below? In this diagram, ABD ~ CAD.

Answers

Answer:

[tex] \sqrt{30} [/tex]

Step-by-step explanation:

altitude rule

10 / x = x / 3

x^2 = 30

x = sqrt(30)

BRANILIST PLS HELP


The triangles below are similar.


Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.


Which similarity statements describe the relationship between the two triangles? Check all that apply.

Triangle P R S is similar to triangle X Y Z

Triangle R S P is similar to triangle Z X Y

Triangle S R P is similar to triangle X Z Y

Triangle P S R is similar to Triangle Z Y X

Triangle R P S is similar to triangle Z Y X

Answers

Answer:

RSP, ZXY

SRP, XZY

RPS, ZYX

Step-by-step explanation:

Obviously, the numbers match each other.

ex. R = 41, Z = 41

Those two have the ability to pair in the same order

What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?

3x - 4y = -17
3x - 4y = -20
4x + 3y = -2
4x + 3y =-6

Answers

Step-by-step explanation:

Let, the given point of the equation of the line are (3,-1) and (0,3) i.e

(x1,y1)=(3,-1) and (x2,y2) = (0,3)

Now,

The slope of the line (m1) = y2-y1 ÷ x2-x1

= 3-(-1) ÷ 0-3

= 3+1 ÷ -3

= 4/-3

since, the lines are parallel i.e.

m1 = m2

or, m2 = -4/3

Again,

The required equation of the line passing through the point (-3,2)=(x1,y2) is

y-y1 = m2(x-x1)

or, y-2 = -4/3 ( x +3)

or, 3(y-2) = -4(x+3)

or, 3y-6 = -4x - 12

or, 4x+3y = -12+6

Therefore, 4x+3y = -6 is the right answer.

2) You translate an object point 3 units to the right and 2 units down. Explain (with the aid of an equation) how you would find the coordinates of the image point. (4 marks)​

Answers

Answer: By adding 2 to y and subtracting x by 3.

Step-by-step explanation: Let’s use the equation y = x since it’s simple. In order to translate an equation anywhere to the right, you have to subtract x by a unit. Since it’s 3 units, the equation is now y = x - 3. To translate an equation down, you have to add a unit to y. Since the questions asks for two units, add 2 to y. The equation should now be y + 2 = x - 3.

Which table represents a linear function? ​

Answers

Answer:

The first one (x=1 and y=1/2)

Step-by-step explanation:

The first table is the only one that has a constant rate of change.  The x value increases by 1, and the y value increase by 1/2.

Hope this helped :)

Answer:

The first one where x increases by 1 and y increases by 1/2.

Step-by-step explanation:

To find the equation, 1/2=1+b

Solve for b

1/2-1=-0.5

B=-0.5

Now, solve for x

1/2=x-0.5

As you can already see in the table, x increase by 1, so no need to even solve.

The equation would be y=1x-0.5 (I’ll post the graph in the picture to prove it is linear.

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable yy is 1 and the degree of variable x is 1.

Sandhu lights a candle at 6 pm. It is 30 cm high. At 7pm, the candle is 27 cm high. At 8pm, it is 24cm high. a) How many cm does the candle burn down every hour? b) How high is the candle at 11 pm?

Answers

Every hour, the candle burns down 3 cm. Why? Well, as time passes by, we can subtract 3 from the height of the candle to find the amount of centimeters of which the candle burned down. We can find how high the candle is at 11 pm by continuing the process of subtracting 3 cm for every hour that passes by. At 9 pm, the candle would be 21 cm. At 10 pm, the candle would be 18 cm. This means that at 11 pm, the candle would be 15 centimeters because 18 - 3 = 15. Bonus fact: By midnight, the candle would be 12 centimeters of height.

Your final answer: A) The candle burns down 3 centimeters every hour. B) At 11 pm, the candle is 15 centimeters high.

please help me its math 10 points

Answers

Answer:

it should be 319

Step-by-step explanation:

Answer:

639 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Let a be a matrix with 4 columns. What are the possible values for rank(a)?

Answers

The complete question says: Let v, w, be vectors of [tex]\mathbb{R}^4[/tex]. Let A be a matrix with 4 columns v, w, 2v+w, v-w. What are the possible values for rank(A)?

The possible values for rank A = 2

What is a vector space?

A vector space is a space that contains vectors as well as the associative including the commutative operation of vector addition and the associative, as well as, distributive operations of vector multiplication by scalars.

From the information given:

If v,w be the vectors in a [tex]\mathbb{R}[/tex]

where;

A = matrix with 4 columns  v, w, 2v+w, v-w,  which are non-independent vectors.

However, the vectors 2v+w and v-w can be expressed as a linear combination of the given values of v and w(independent vectors).

We can conclude that the maximum no. of independent rows = 2. Hence, the possible rank of matrix A is 2.

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How tall is the tree?
5ft
35°
-20ft-
[? ]ft

Answers

Answer:

19

Step-by-step explanation:

tan35=x/20

20tan35=x

x=14.0041507641942

x+5=19.0041507641942

Nearest foot is 19

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Caitlyn and Steve are planning their wedding reception and must decide between two catering halls. The first site, A Wedding Space, rents for $900 for one day and charges $50 per person for dinner. The second venue, A Wedding Place, costs $450 to rent for one day and charges $75 per person for the same dinner. Solve the equation 900+50x=450+75x to determine how many guests they can invite so that the cost they pay will be the same at both wedding catering halls. find sizes of unknown angles define a project and a development project in your own words. Suppose that in the country of Workanda, the population is 330 million, and 170 million people are working (have a job). If 70 million people are ineligible to work and the Labor Force Participation Rate is 70%, what is the unemployment rate in Workanda? [Use two significant digits for your answer]. A BIU - PE III Suppose that in the country of Workanda , the population is 330 million , and 170 million people are working ( have a job ) . If 70 million people are ineligible to work and the Labor Force Participation Rate is 70 % , what is the unemployment rate in Workanda ? [ Use two significant digits for your answer ] . El permetro de un rectngulo es de 72 cm. Halla el rea del rectngulo si su largo es el 25% ms grande que su ancho Which industry was the first to benefit from the Industrial Revolution? Middleton, wisconsin, has a museum for what popular condiment?. How can MS Word aid healthcare professionals with virtual communication? Explain light as the condition required for chemical change with few examples. reading and comprehension Which type of electromagnetic wave has less energy than a microwave?OA. Ultraviolet waveOB. Radio waveO C. An X-rayOD. Infrared wave military rule ended in Brazil in Which word could replace martial as a synonym in the sentence?OA. .menacingOB.simpleO C. sincereO D. soldierly What are the environmental impacts of chemical industries using distillation to separate chemical solutions? which of the following is a rational number a.5b.c.1/2d.(77) From what we understand, there was an attack last night in the vicinity of the beach ( rewrite the sentence) explain hyaluronic acid Combine the following sentences into a single compound sentence: pauline frowned at the newspaper. she threw it down in frustration. o throwing down the newspaper, pauline frowned at it. pauline frowned at the newspaper, throwing it down in frustration. o pauline frowned at the newspaper, throwing it down in frustration. pauline frowned at the newspaper, and she threw it down in frustration. How did the Supreme Court use judicial review to change American society If a ball is thrown into the air with a velocity of 45 ft/s, its height in feet after t seconds is given by y=45t-15t2. Find the instantaneous velocity when t=4