Answer:
64 ft
Step-by-step explanation:
The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.
The shadow of the flagpole is 8 times longer than the shadow of the post.
8 x 8 = 64
<h3>
Answer: 8</h3>
Reason:
Replace p with 2 and evaluate.
![p^3 = 2^3 = 2*2*2 = 8](https://tex.z-dn.net/?f=p%5E3%20%3D%202%5E3%20%3D%202%2A2%2A2%20%3D%208)
Think of a cube that is 2 units along each side. It's volume is 2*2*2 = 8 cubic units. Repeated multiplication can be shortened to using exponents.
Another example: ![7^4 = 7*7*7*7](https://tex.z-dn.net/?f=7%5E4%20%3D%207%2A7%2A7%2A7)
The Pythagorean Theorem is:
a^2 + b^2 = c^2
so you plug in the values you know (c is always the hypotenuse)
x^2 + 24^2 = 26^2
and the value of x=10
and yes the side lengths are a pythagorean triple
Answer:
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)
Step-by-step explanation:
p(x) = 5x^4 + 40x
p(x) = 5x(x^3 + 8)
p(x) = 5x(x + 2)(x^2 - 2x + 4)
Part A: Option 2, A: Anna’s answer is incorrect. She correctly factored out 5x, but incorrectly identified a and b, so her answer cannot be correct.
Part B: Option 3, B: 5x(x+2)(x^2−2x+4)