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lesya [120]
2 years ago
6

Which equation represents the line that is parallel to y= 3/4x + 7 and passes through (-12,36)?

Mathematics
1 answer:
Nady [450]2 years ago
4 0
In order for two lines to be parallel, the slope of the equations have to be the same.
y = 3/4x + 7 —> 3/4 is the slope.
For the new equation, the line has to go through (-12,36) which means that the y- intercept has to be 36.
The new equation would be y = 3/4x + 36.
Here is a graph to prove my point.
The red one is the original, the blue one is the one parallel to the original.
Hope this helped:$

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The correct question is
<span>Penelope determined the solutions of the quadratic function by completing the square.
f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
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What error did Penelope make in her work?

we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
 4x² + 8x + 1=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

 (4x² + 8x)=-1

Factor the leading coefficient 

 4*(x² + 2x)=-1

Complete the square Remember to balance the equation by adding the same constants to each side.

 4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)

Rewrite as perfect squares

4*(x+1)²=3

(x+1)²=3/4--------> (+/-)[x+1]=√3/2

(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2

(-)[x+1]=√3/2----> x2=(-2-√3)/2

therefore

the answer is

<span>Penelope should have added 4 to both sides instead of adding 1.</span>
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