answer:
is that a quiz or a test? cuz if so, brainly doesn't let us do ur work. someone will report. but i wont. dw!
Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer and asks for a sign that has an area of 16x2 – 40x + 25 square inches. What is the side length, in inches, of the pet shop sign?
Answer:
the length of the sign is
inches
Step-by-step explanation:
Given
Area of the square of design = ![16x^{2} -40x+25](https://tex.z-dn.net/?f=16x%5E%7B2%7D%20-40x%2B25)
First we find the roots of equation ![16x^{2} -40x+25=0](https://tex.z-dn.net/?f=16x%5E%7B2%7D%20-40x%2B25%3D0)
The roots of the quadratic equation
are given by
![x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
where ![a=16, b=-40, c=25](https://tex.z-dn.net/?f=a%3D16%2C%20b%3D-40%2C%20c%3D25)
![x=\frac{40\pm\sqrt{(-40)^2-4\times 16\times 25}}{2\times 16}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B40%5Cpm%5Csqrt%7B%28-40%29%5E2-4%5Ctimes%2016%5Ctimes%2025%7D%7D%7B2%5Ctimes%2016%7D)
![x=\frac{40\pm\sqrt{1600-1600}}{32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B40%5Cpm%5Csqrt%7B1600-1600%7D%7D%7B32%7D)
![x=\frac{40\pm\sqrt{0}}{32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B40%5Cpm%5Csqrt%7B0%7D%7D%7B32%7D)
![x=\frac{40}{32}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B40%7D%7B32%7D)
![x=\frac{5}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B5%7D%7B4%7D)
![4x=5\\4x-5=0](https://tex.z-dn.net/?f=4x%3D5%5C%5C4x-5%3D0)
That is, the factors of the polynomial
are
and
.
So, Area of the square design =
= ![(4x-5)^{2}](https://tex.z-dn.net/?f=%284x-5%29%5E%7B2%7D)
Area of a square = Length^2
Thus, the length of the sign is
inches
Answer:A?
Step-by-step explanation:
Answer:
125.99/100 X 108 = 136.0692
round to 2 dp = $136.07