12^2 - 11^2
= 144 - 121
= 23
square root (23) = 4.79 = 4.8
answer
C. 4.8
<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
$47.70
$45 with 6% sales tax
6%=.06
To find total amount multiply by 1.06 or multiply by .06 and that is tax amount and then add it to the $45
$45*.06=2.70 amount of tax
$45*1.06=47.70 total amount paid
Any questions feel free to ask. Have a great day!