Find the unknown side length, x. Write your answer in simplest radical form.
A 15
B. 5 √ 0
C. 2 √ 70
D. 4 √ 37

B (5 sqrt10)

Step-by-step explanation:

If the hypotenuse is 17, and a leg is 8, that makes the other leg equal to sqrt((17^2)-(8^2)) = sqrt(289-64) = sqrt(225) = 15.

Because you subtract 3 from the leg with length 8, that makes the smaller triangles leg 5. That makes the hypotenuse sqrt(5^2 + 15^2) = 5sqrt10

I'm guessing you typoed for B and meant 5sqrt10, so the answer is B

Step-by-step explanation:

If you use Pythagorean's Theorem, the other side becomes 15.

We can now use the same Theorem to find x.

8 - 3 = 5

15^2 + 5^2 = 250

That simplifies down to

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

x = -2

y = 848

step-by-step explanation:

plug in the numbers