vType the correct answer in each box. If necessary, use / for the fraction bar(s). Given: . If the coordinates of point A are (8 , 0) and the coordinates of point B are (3 , 7), the y-intercept of is . If the coordinates of point D are (5 , 5), the equation of line is y = x + .

Answers

Answer 1

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is y=-(7/5)x + (56/5).

What is the equation of a line?

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

Given two points of the line AB, where the coordinates of point A are (8,0) and the coordinates of point B are (3,7). Now, the slope of the equation can be written as,

m = (0-7)/(8-3) = -7/5

Substitute any one of the points in the equation,

y = -(7/5)x + c

7 = -(7/5)3 + c

7 = -21/5 + c

76/5 = c

Hence, the equation of the line is y=-(7/5)x + (56/5).

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Related Questions

Wilma is 5 times as old as yvonne. in ten years, yvonne's age will be a third of wilma's age. how old are they now?

Answers

Using a system of equations, it is found that Wilma is 50 years old and Yvonne is 10 years old.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

Variable x: Wilma's age.Variable y: Yvonne's age.

Wilma is 5 times as old as yvonne, hence:

x = 5y.

In ten years, yvonne's age will be a third of wilma's age, hence:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

Since x = 5y:

[tex]y + 10 = \frac{1}{3}(x + 10)[/tex]

[tex]y + 10 = \frac{1}{3}(5y + 10)[/tex]

3y + 30 = 5y + 10

2y = 20.

y = 10.

Then:

x = 5y = 5 x 10 = 50.

Wilma is 50 years old and Yvonne is 10 years old.

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Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)

Answers

The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

How to find the numeric value of an expression?

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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which expressions are equivalent ??

Answers

Answer:

[tex]\huge\boxed{E.\ 5^{4+x}}[/tex]

Step-by-step explanation:

Use:

[tex]a^n\cdot a^m=a^{n+m}[/tex]

[tex]5^4\cdot5^x=5^{4+x}[/tex]

work out the size of angle x

Answers

Answer:

x =83

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

x+43 = 126

Subtract 43 from each side

x = 126 -43

x =83

Let's take this problem step by step:

For the angle adjacent to the exterior angle of 126°:

  ⇒ exterior angle plus the that angle is equal to 180 degrees

      ⇒ since it is on a straight line

                 [tex]126 + that_.angle=180\\\rm \hookrightarrow that.angle=180-126\\\rm \hookrightarrow that.angle=54[/tex]

The sum of all the angles in a triangle is: 180°

                [tex]that.angle+43+x=180\\\rm \hookrightarrow 54+43+x=180\\\rm \hookrightarrow 97+x=180\\\rm \hookrightarrowx=83[/tex]

The size of angle x is 83°

Answer: 83°

Hope that helps!

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Select the correct answer.
Which function is the inverse of ?

Answers

Answer:

B.    [tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

Step-by-step explanation:

[tex]let \space\ y = f(x)\\\\y = 9x -3\\[/tex]

Now make x the subject of the equation:

[tex]9x = y + 3\\\\x = \frac{y + 3}{9} \\[/tex]

Replace x with f⁻¹(x) and y with x:

[tex]f^{-1}(x) = \frac{x + 3}{9}[/tex]

The answer is b I think

Which graph shows the solution to the system of linear inequalities? Edge.

x + 3y > 6

y ≥ 2x + 4

Answers

A system of inequalities can be solved graphically.

See attachment for the required graph

The inequalities are given as

[tex]x + 3y > 6\\y \geq 2x + 4[/tex]

The options are not given.

So, I have attached the graph that illustrates the solution to the system of inequalities.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.

From the graph, we have the solutions as

[tex]x > -0.857[/tex]

[tex]y\geq 2.276[/tex]

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Belfast Giants have played 5 matches and the mean number of goals scored is 3
When they play the 6th match, the mean increases to 4.

Answers

Answer:

2 goals

Step-by-step explanation:

After 5 games the team scored 1.8*5=91.8∗5=9 goals.

After 6 games the team scored 9+3=129+3=12 goals.

The mean after 6 games is \frac{12}{6}=2

6

12

=2 goals.

What is the line that has a slope of -2/3 and passes through point -3,-1?

Answers

Answer:

y = (- 2/3)x - 3

Step-by-step explanation:

y = mx + c

y = (- 2/3)x + c

Now let's substitute the values (-3,-1)

- 1 = (- 2/3)(-3) + c

-1 = 2 + c

c = - 3

Therefore,

y = (-2/3)x - 3

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

y = y coordinate              → given: - 1

m = slope                        → given: - 2/3

x = x coordinate              → given: - 3

b = y intercept                 → need to find

y = -2/3x + b → -1 = -2/3(-3) + b

-1 = 2 + b

subtract 2 from both sides

-1 - 2 = 2 - 2 + b

-3 = b

y = -2/3x - 3

Given: ABC with AD | CB Prove: m/1 + m/3 + m/2 = 180, by putting the reasons in the correct order. A 3 Z C 5 8 Given : AABC with AD | CB Prove : m / 1 + m / 3 + m / 2 = 180 , by putting the reasons in the correct order .​

Answers

Answer:

98798765

Step-by-step explanation:

67654678765

Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3


Help me please

Answers

Answer:

y-2=1/3(x-3)

Step-by-step explanation:

please mark me as brainlest

Answer: y-2=1/3(x-3), which is Choice [B]

Step-by-step explanation:

Hii, do you need to know the answer to your question? No problem! (:

First, do you remember what the "point-slope" formula is? It's

y-y1=m(x-x1)

Now it's just a matter of sticking in the known values.

y-2=1/3(x-3)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

[tex]\bigstar\underbrace[/tex]

Which model best represents the situation

Answers

Answer:

A

Step-by-step explanation:

she worked a total of 34 hours , then

x + y = 34

earnings are $10 per hour babysitting , that is 10x for x hours

$15 per hour for yardwork, that is 15y for y hours

she made a total of $410 , then

10x + 15y = 410

system of equations is

x + y = 34

10x + 15y = 410

Give ur answer in standard form.
3 x 10^4 ÷6 x 10^-4

Answers

Answer:

5.0×10⁷

Step-by-step explanation:

(3÷6)×(10⁴÷10^-4)

(0.5)×(10⁸)

5.0×10^-1×10⁸

5.0×10⁷

[tex] \frac{3 \times {10}^{4} }{6 \times {10}^{ - 4} } \\ \\ \frac{1 \times {10}^{4 - ( - 4)} }{2 } \\ \\ \frac{ 1 \times {10}^{4 + 4} }{2} \\ \\ \frac{1 \times {10}^{8} }{2} \\ \\ 0.5 \times {10}^{8} .[/tex]

please help i just started summer school online Part F
Several minutes later, Raul decides to measure the water temperature again. He finds that the temperature changed by -0.6°F. What is the temperature of the water now? Show your work.

Answers

Answer:

Step-by-step explanation:

basically all you do is

f (x) = √x + 9 what is the domain?

Answers

Answer:

Step-by-step explanation:

Hopes this helps:

Answer: x ≥ 0

Anything inside a square root must not be negative. The domain has to be x ≥ 0.

And if you have to graph it it has to start at 0 and go up to 9 and curve over.

The table shows the probability of how a certain score will
compare to a listed score on a popular video game. Use the
probability distribution to find the variance, o².

Answers

The variance of the probability distribution is 400

The Variables of X and their Probability Distribution.

To find Variance, first we should find out Mean and then Variance

The expected value of a discrete random variable X, symbolized as E(X), is often referred to as the long-term average or mean (symbolized as μ)

The variance of a probability distribution is symbolized as σ2. To find the variance σ2 of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.

Step – 1: Calculation of Mean                               Step – 2: Calculation of Standard Deviation= σ2=∑(x−μ)²P(x)

Mean = X * P(X)     Variance = Sum of (X – Mean)²*P(X)

X P(X) X*P(X)

-50 0.029 -1.45

-30 0.121 -3.63

-10 0.210 -2.1

10 0.485 4.85

30 0.145 4.35

50 0.010 0.5

Mean  2.52

X  P(X) X - Mean  (X – Mean)² (X – Mean)²*P(X)

-50 0.029 -52.52 2758.35                 79.99216

-30 0.121 -32.52 1057.55                 127.9636

-10 0.210 -12.52 156.7504         32.91758

10 0.485 7.48          55.950                  27.13594

30 0.145 27.48 755.1504         109.4968

50 0.019 47.48 2254.35                 22.5435

Variance=400.00

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Please hurry

How could you solve this problem?
2 × 3 × 4
Check all that are true.

Multiply 3 × 4 to get 12 and then multiply 12 × 6.

Multiply 2 × 3 to get 6 and then multiply 6 × 12.

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Multiply 2 × 3 to get 6, multiply 3 × 4 to get 12, and then multiply 6 × 12.

Answers

Answer:

multiply 2×3 to get 6and then multiply 6×4 to get 24

Answer:

Multiply 3 × 4 to get 12 and then multiply 12 × 2.

Multiply 2 × 3 to get 6 and then multiply 6 × 4.

Explanation:

Original Answer : 2 × 3 × 4 = 24

1) 12 × 6 = 72

2) 6 × 12 = 72

3) 12 × 2 = 24

4) 6 × 4 = 24

5) 6 × 12 = 72

Hence, only option 3 and 4 is correct.

Es para hoy ayúdenme por favor

Answers

Answer:

Con qué necesitas ayuda?

Step-by-step explanation:

What is the image of (-9,3)(−9,3) after a reflection over the y-axis?

Answers

Answer:

(9, 3 )

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

(- 9, 3 ) → (9, 3 )

When water flow in two Hoses. The first is four times the second's speed, what is the ratio of the radius of the first to the second?​

Answers

Answer:

4:1

Step-by-step explanation

this should be the answer from how  u gave the question, also can i get brainliest ;)

work out the equation of the line

Answers

Step-by-step explanation:

Hi there!

According to the question;

The gradient of line is 1/2 and passes through the point (4,-2).

Since, It has one point and gradient we use one point formula to find the equation of the line.

Note:

One point formula: (y-y1) = m (x-x1)

(4,-2) = (x1,y1)

So, using this formula we get;

(y+2) = 1/2(x-4)

Multiply both sides by 2.

2(y+2) = (1/2)*2(x-4)

2y+4 = x-4

Take 2y+4 in right side

0 = x-4 - (2y+4)

Therefore, x-2y-8 = 0 is the required equation.

Hope it helps!

Hi there!

We're given the following information:

Slope (gradient) = ¹/₂Point = (4,2)

With this information, we can go ahead and plug the data into the point slope equation: y - y₁ = m(x - x₁).

Plug in 1/2 for m, and (4,2) for x1 and y1:

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

[tex]\sf{y-(-2)=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}(x-4)}[/tex]

[tex]\sf{y+2=\dfrac{1}{2}x-2}\\\sf{y=\dfrac{1}{2}x-2-2}\\\\\sf{y=\dfrac{1}{2}x-4}[/tex]

Hence, y = 1/2x - 4.

I hope that helps! :)

Absolute value of (-1, -3/7)

Answers

The absolute value of -1 is 1 and -3/7 is 3/7.

We have given that,

(-1, -3/7)

We have to determine the absolute value of (-1, -3/7)

What is the absolute value?

The absolute value or modulus of a real number x denoted |x|, is the non-negative value of x without regard to its sign. Namely, [tex]{\displaystyle |x|=x}[/tex]if x is a positive number, and [tex]{\displaystyle |x|=-x}[/tex] if x is negative, and[tex]{\displaystyle |0|=0}[/tex].

Therefore the absolute value of -1 is 1 and -3/7 is 3/7.

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Will a stand that hold up to 40 pounds support a 21-kilograms television? Explain used 2.2 Lb = kg

Answers

Answer: No, the stand will not support the TV. It is too heavy.

Work Shown:

1 kg = 2.2 lbs approximately

21*1 kg = 21*2.2 lbs

21 kg = 46.2 lbs

A 21 kilogram tv is roughly equivalent to 46.2 pounds.

This exceeds the 40 pound weight limit, so this stand will not support it.

Answer: No

Step-by-step explanation:

Weight limit = 40 Lb

Weight given = 21 kg

Conversion factor

2.2 Lb = 1 kg

2.2 x 21 = 46.2

46.2 Lb = 21 kg

46.2 > 40, the stand cannot support the TV

Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine

Answers

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

What is the graph of the best estimate?

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

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What is the value of k?

Answers

Answer:

The value of K in free space is 9 × 109

Step-by-step explanation:

131 = 2k + 11
131-11 = 2k
120 = 2k
120/2 = 2k/2
k = 60

Find the length of x. Assume the triangles are similar.

Answers

Triangles are similar and only differ in size meaning they are dilated

So first we have to find the scale factor of dilation (by how much the smaller triangle got bigger)

Find scale factor:

2.4a=4.8

z=2

Find x:

we multiply the original side of the small side with the scale factor of 2

2.8(2)=x

5.6=x

So, x=5.6

simplify 6e × 2f please help​

Answers

So first multiply the numbers
6 x 2 which gives you 12
then just add the letters which gives you
The answer (12ef) and that’s your answer

the sum of a certain number and -3​

Answers

Answer:

[tex]\huge\boxed{\sf x - 3 }[/tex]

Step-by-step explanation:

Let the certain number be x

So,

Given condition:

Sum is to add so we'll use the sign +

= x + (-3)

We know that + and - makes - because - sign will flip the + sign and make it negative, So:

= x - 3

[tex]\rule[225]{225}{2}[/tex]

Solution: c-3

[tex]\searrow[/tex]

Detailed explanation:

[tex]\searrow[/tex]

This problem tells us to convert the verbal phrase (in words) "the sum of a certain number and -3" into an algebraic expression, which is written in numbers.

Let's start by taking a look at our problem.

"the sum of a certain number and -3". We can first write this "certain number" as one letter (any letter you want). Let it be c.

Our expression already looks a little easier: "the sum of c and -3".

Now, the word "sum" tells us to add. So we should add c and -3.

[tex]--\mapsto\boldsymbol{c+-3}[/tex]

Which is the exact same thing as [tex]\boldsymbol{c-3}[/tex].

Voila! There's our answer.

Cheers!! ^-^

______________________

Hope I helped! Best wishes.

Reach far. Aim high. Dream big.

_______________________

F(x)=-x^2+3 find(-2)

Answers

Answer:

F(-2) = 7

Step-by-step explanation:

 Finding a specific point on a function given the x position can be done by substituting x in the function for the given number, then solving said function. The value on the right side of the function is the y position.

For this specific function [F(x) = x² + 3], substitute x for -2.

F(-2) = (2)² + 3

Next, solve the equation.

F(-2) = 4 + 3

F(-2) = 7

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

Required answer: f(2) = -1

Detailed explanation:

To find f(-2), we will substitute -2 for x in the function:

[tex]\bf{f(x)=-x^2+3}[/tex]

[tex]\bf{f(-2)=-(-2)^2+3}[/tex]

[tex]\bf{f(-2)=-4+3}[/tex]

[tex]\bf{f(-2)=-1}[/tex]

[tex]\hrulefill[/tex]

Have a wonderful day!

Select the correct answer.
A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.


What is the range of the function shown on the graph above?
A.


B.


C.


D.

Answers

The range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

What is a range?

A range refers to the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range is the solution set on the y-axis.

How to determine the range?

Based on the graph of the two points, we can logically deduce the following information:

The least value on the y-axis is 0.The greatest value on the y-axis is 7.The endpoints on the y-axis are 0 and 7.

Therefore, the range of the function shown on the graph below is equal to 0 ≤ y ≤ 7.

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In a spelling bee $50\%$ of the students were eliminated after the first round. Only $\frac{1}{3}$ of the remaining students were still in the contest after the second round. If 24 students were still in the contest after the second round, how many students began the contest

Answers

There were 144 students when the contest began

What is Equation ?

Equation is formed when an algebraic expression is equated by a constant or another algebraic expression.

On the basis of given data :

Let the total number of students are x

50% of the students are eliminated after the first round

the remaining students are 0.5x

After the second round = (1/3) * 0.5 x were remaining

and

(1/3) * 0.5 x = 24

then solving this equation will give the total number of students

0.5x = 24 * 3

x = 24*3 /0.5 = 144

Therefore there were 144 students when the contest began

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Other Questions
Private organizations that work to change policy using lobbyists, phone calls to elected officials, and other methods are called In China, parents are not expected to work after the age of 65. They may live with their children, who often financially support them in their older years. If an older parent is working, it is viewed as a disgrace to the family. In the United States, parents often work as long as they are able or need to in order to financially support themselves. When they grow older and are unable to live alone, they rarely live with their adult children. What would explain the difference in how the older parent is viewed in China compared to the United States Which of the following is NOT an example of a type of descriptive research?A) ObservationB) Case studyC) Independent measuresD) Content analysis Read this passage:LADY MACBETH. Come on;Gentle my lord, sleek o'er your rugged looks;Be bright and jovial among your guests to-night.-William Shakespeare, Macbeth, Act III, scene iiWhich sentence is the best translation of the text?OA. Your rugged good looks make you the perfect king, and your loyalsubjects await your command.B. Stop acting like you're so upset, and be sure to look happy andcheerful for your guests tonight.C. Your guests suspect that you are responsible for the king's death,so beware.D. You look too happy for someone who has so recently committedsuch a horrible crime. Which of the following themes appear in Antigone? The bagel data also reflect how much personal mood seems to affect honesty. Weather, for instance, is a major factor. Unseasonably pleasant weather inspires people to pay at a higher rate. Unseasonably cold weather, meanwhile, makes people cheat prolifically; so do heavy rain and wind. Worst are the holidays. The week of Christmas produces a 2 percent drop in payment ratesagain, a 15 percent increase in theft, an effect on the same magnitude, in reverse, as that of 9/11. Thanksgiving is nearly as bad; the week of Valentines Day is also lousy, as is the week straddling April 15. There are, however, a few good holidays: the weeks that include the Fourth of July, Labor Day, and Columbus Day. The difference in the two sets of holidays? The low-cheating holidays represent little more than an extra day off from work. The high-cheating holidays are fraught with miscellaneous anxieties and the high expectations of loved ones.Based on the excerpt, the conclusion that personal mood seems to affect honesty is best supported by which of the following statements?Relaxing summer and fall holidays generally cause payment rates to drop.Stressful fall and winter holidays generally cause payment rates to drop.Relaxing summer and fall holidays generally cause theft rates to increase.Stressful fall and winter holidays generally cause theft rates to remain steady. Question 6 of 10What happens in a single-replacement reaction?O A. Two reactants combine to form one product.OB. One reactant replaces an element in another reactant.OC. Two reactants exchange elements with each other.D. 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