Will give brainliest to correct answer.

Use the a² + b² =  c² formula, in which c² is the hypotenuse

Let a = 6
Let b = 9

Plug in to corresponding place.

6² + 9² = c²

Simplify

36 + 81 = c²

117 = c²

Isolate the c, root both sides

√c² = √117

c = √117

Simplify:

c = 3√13, or 10.817 (rounded).

hope this helps

  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.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

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

the table tells us

g(-2) = 1g(1) = 31

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).

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