Two legs of a right triangle each measure 10 inches how long is the hypotenuse

For this case, the first thing you should do is apply the Pythagorean theorem:
 c = root ((a) ^ 2 + (b) ^ 2)
 Where,
 a, b: sides of the triangle
 c: hypotenuse
 Substituting values we have:
 c = root ((10) ^ 2 + (10) ^ 2)
 c = root (100 + 100)
 c = root (200)
 c = root (2 * 100)
 c = 10 * root (2)
 Answer
 The hypotenuse is:
 c = 10 * root (2) inches

  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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