7*4=28
28+7m=49
49-28=21
7m=21
21/7=3
m=3
ANSWER
![w = (x - 8)](https://tex.z-dn.net/?f=w%20%3D%20%28x%20-%208%29)
EXPLANATION
The given rectangle has area,
![A = {x}^{2} - x - 72 \: {m}^{2}](https://tex.z-dn.net/?f=A%20%3D%20%7Bx%7D%5E%7B2%7D%20-%20x%20-%2072%20%5C%3A%20%7Bm%7D%5E%7B2%7D%20)
It was given to us that, the length of the rectangle is l=(x+8)
To find the width, we need to factor, the expression for the area.
We split the middle term to get,
![A = {x}^{2} - 9x + 8x- 72](https://tex.z-dn.net/?f=A%20%3D%20%7Bx%7D%5E%7B2%7D%20-%209x%20%2B%208x-%2072%20)
We now factor by grouping;
![A = x(x - 9) + 8(x- 9)](https://tex.z-dn.net/?f=A%20%3D%20x%28x%20-%209%29%20%2B%208%28x-%209%29)
![A = (x + 8)(x - 9)](https://tex.z-dn.net/?f=A%20%3D%20%28x%20%2B%208%29%28x%20-%209%29)
We know that area of a rectangle is
![A = l \times w](https://tex.z-dn.net/?f=A%20%3D%20l%20%5Ctimes%20w)
Hence the width of the rectangle is,
Answer:
Obtuse
Step-by-step explanation:
![8^2+11^2=14^2\\64+121=196\\185=196](https://tex.z-dn.net/?f=8%5E2%2B11%5E2%3D14%5E2%5C%5C64%2B121%3D196%5C%5C185%3D196)
Since the hypotenuse is bigger, the triangle is obtuse
Answer:
ITS AN ASSESMENT THIS VIOLATES THE HONOR CODE
Step-by-step explanation: