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Vladimir [108]
3 years ago
10

Find the value of k so that the line through the given points has the given slope.

Mathematics
1 answer:
Kay [80]3 years ago
7 0

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}

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Yes, 790 is divisible by 2. The answer is 395
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3 years ago
Is x = -7, the solution to -11 + 2x = -26? Justify your answer in complete sentences.
Natali5045456 [20]
First of all, you can move the +2x to the other side:
-11 = -26 - 2x

Then you can move the -26 to the other side and then simplify:
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Then you can flip the sides and the signs around:
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Hope this helps! :)
4 0
3 years ago
Please help me I don’t know how to solve it and will mark brainiliest
Sindrei [870]

Answer: One plain roll is 4 dollars and one shiny roll is 6 dollars.

Step-by-step explanation:

lets start by saying

rolls of plain wrapping paper = x

rolls of shiny wrapping paper = y

Kathryn sold 4 plain rolls and 3 shiny rolls for 34 dollars.

4x+3y=34

Eugene sold 4 plain rolls and 2 shiny rolls for 28 dollars

4x+2y=28

Both equations will look like this.

4x+3y=34

-1(4x+2y)=(28)-1

we can multiply the second equation by -1 to get y alone. (doesn't matter which equation). Once you do that, the positive 4x and the negative 4x cancel out, 3y-2y=1y and 34-28=6. you are left with

1y=6 so one shiny roll is 6 dollars.

now use that price to find the cost of the plain roll.

lets use Kathryn's equation

4x + 3(6)=34

4x + 18= 34

      -18  -18

4x=16. Divide by 4 to find cost of one plain roll.

16÷4=4. One plain roll costs 4 dollars.

Lets check. Using Kathryn's equation,

4(4) + 3(6)=34

16+18=34

34=34. We are right.

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Step-by-step explanation:

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80 is correct. 
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Read 2 more answers
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