|x-10| when x = -8
| - 8 - 10 | = |-18| = 18 <==
Answer:
![\dfrac{16x^3-37x^2-16x+37}{x^2+2}](https://tex.z-dn.net/?f=%5Cdfrac%7B16x%5E3-37x%5E2-16x%2B37%7D%7Bx%5E2%2B2%7D)
Step-by-step explanation:
There aren't any factors that cancel (except 3x). The best you can do is multiply it out.
![\displaystyle\frac{\frac{3x^2-3}{x}}{\frac{3(x^2+2)}{16x^2-37x}}=\frac{3(x^2-1)}{x}\cdot\frac{16x^2-37x}{3(x^2+2)}\\\\=\frac{x(x^2-1)(16x-37)}{x(x^2+2)}=\frac{16x^3-37x^2-16x+37}{x^2+2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%5Cfrac%7B3x%5E2-3%7D%7Bx%7D%7D%7B%5Cfrac%7B3%28x%5E2%2B2%29%7D%7B16x%5E2-37x%7D%7D%3D%5Cfrac%7B3%28x%5E2-1%29%7D%7Bx%7D%5Ccdot%5Cfrac%7B16x%5E2-37x%7D%7B3%28x%5E2%2B2%29%7D%5C%5C%5C%5C%3D%5Cfrac%7Bx%28x%5E2-1%29%2816x-37%29%7D%7Bx%28x%5E2%2B2%29%7D%3D%5Cfrac%7B16x%5E3-37x%5E2-16x%2B37%7D%7Bx%5E2%2B2%7D)
I believe it is Complimentary
Given:
In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.
To find:
The length of the missing side.
Solution:
In a right angle triangle,
![Hypotenuse^2=Perpendicular^2+Base^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%3DPerpendicular%5E2%2BBase%5E2)
Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.
Substituting Perpendicular = 8 inches and Base = 12 inches, we get
![Hypotenuse^2=8^2+12^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%3D8%5E2%2B12%5E2)
![Hypotenuse^2=64+144](https://tex.z-dn.net/?f=Hypotenuse%5E2%3D64%2B144)
![Hypotenuse^2=208](https://tex.z-dn.net/?f=Hypotenuse%5E2%3D208)
Taking square root on both sides, we get
![Hypotenuse=\sqrt{208}](https://tex.z-dn.net/?f=Hypotenuse%3D%5Csqrt%7B208%7D)
![Hypotenuse=14.422205](https://tex.z-dn.net/?f=Hypotenuse%3D14.422205)
![Hypotenuse\approx 14.4](https://tex.z-dn.net/?f=Hypotenuse%5Capprox%2014.4)
The length of the missing side is 14.4 inches. Therefore, the correct option is D.
C=$7.00
C stands for the cost, and n would be the amount of hamburgers. Since we are looking to determine the costs of 14 hamburgers we would have to then multiply 0.5 and 14.
14 x 0.5 =7
So your answer is 7 dollars