Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
Answer:
![\boxed{D = 8.5 \ units}](https://tex.z-dn.net/?f=%5Cboxed%7BD%20%3D%208.5%20%5C%20units%7D)
Step-by-step explanation:
The coordinates are (5,7) and (-3,4)
Distance Formula = ![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D)
D = ![\sqrt{(-3-5)^2+(4-7)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-3-5%29%5E2%2B%284-7%29%5E2%7D)
D = ![\sqrt{(-8)^2+(-3)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28-8%29%5E2%2B%28-3%29%5E2%7D)
D = ![\sqrt{64+9}](https://tex.z-dn.net/?f=%5Csqrt%7B64%2B9%7D)
D = ![\sqrt{73}](https://tex.z-dn.net/?f=%5Csqrt%7B73%7D)
D = 8.5 units
My best guess is to go with C, sorry if its wrong!
edit: just realized this said red and blue, my bad!
Answer:
![A=128\ cm^2](https://tex.z-dn.net/?f=A%3D128%5C%20cm%5E2)
Step-by-step explanation:
we know that
The area of the polygon is equal to the area of a square plus the area of four congruent triangles
so
![A=b^2+4[\frac{1}{2}(b)(h)]](https://tex.z-dn.net/?f=A%3Db%5E2%2B4%5B%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29%5D)
where
![b=8\ cm\\h=4\ cm](https://tex.z-dn.net/?f=b%3D8%5C%20cm%5C%5Ch%3D4%5C%20cm)
substitute
![A=8^2+4[\frac{1}{2}(8)(4)]](https://tex.z-dn.net/?f=A%3D8%5E2%2B4%5B%5Cfrac%7B1%7D%7B2%7D%288%29%284%29%5D)
![A=64+64=128\ cm^2](https://tex.z-dn.net/?f=A%3D64%2B64%3D128%5C%20cm%5E2)
Answer:
Option B is correct.
y =32x represents a proportional relationship.
Step-by-step explanation:
If two quantities are said to have a proportional relationship if they vary in such a way that one of the quantities is a constant multiple of the other i.e,
y = |k| y where |k| is constant proportionality.
By definition :
y =32x where k =32 is constant , represents a proportional relationship.