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garik1379 [7]
3 years ago
15

Graph the line that passes through the points (-3,-6) and (8,-6)and determine the equation of the line.

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0

Answer:

Y = -6

Step-by-step explanation:

x1 y1  x2 y2

-3 -6  8 -6

   

(Y2-Y1) (-6)-(-6)=   0  ΔY 0

(X2-X1) (8)-(-3)=    11  ΔX 11

   

slope= 0          

B= -6          

   

Y = -6    

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<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

4 0
3 years ago
Javier earns $7.50 per hour and works 20 hours per week. He wants to know how many weeks, w, he will need to work to save
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Answer:

8 weeks

Step-by-step explanation:

So first you find out how much money he makes per week, by doing 7.5 x 20 you will find that. Now you need to find how many weeks it will take, find this by dividing 1200 by the amount he makes per week and you will end up with 8.

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3 years ago
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Step-by-step explanation:

3 diangonalss joined togeheter is call a symertry

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3 years ago
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scoray [572]

Answer:

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The Philadelphia Cream Cheese Company produces 42 pounds of cream cheese in each batch. A batch is split up into small portions,
alexandr402 [8]

Answer:

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Step-by-step explanation:

1/8 pound * by 8 would get you to 1 pound

you have 42 pounds.

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