Answer:
x = 2-7y over 4
Step-by-step explanation:
4x+7y=2
-7y -7y
4x = 2 - 7y
/4 /4
x=2 - 7y/4
Answer:
<3 and <4 are supplementary
Step-by-step explanation:
<3 and <4 form a linear pair, so they are supplementary (=180 degrees)
<h3>
Answer: 14x - 8</h3>
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Explanation:
I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.
The equation is of the form ax^2+bx+c = 0
This leads to...

Now use those roots to form these steps

Refer to the zero product property for more info.
Therefore, the original expression factors fully to (4x-5)(3x+1)
Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.
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We did that factoring so we could find the side lengths of the rectangle.
I'm using the fact that area = length*width
- L = length = 4x-5
- W = width = 3x+1
The order of length and width doesn't matter.
From here, we can then compute the perimeter of the rectangle
P = 2(L+W)
P = 2(4x-5+3x+1)
P = 2(7x-4)
P = 14x - 8
Answer:
M=7/8
Step-by-step explanation:
The equation used to solve this is yz-y1/x2-x1.
This applied to the problem would look like 9-2/3--5
Simplified this would be, 7/8 as your slope