Two Δ are similar. The sides of the first Δ are 2,4,6. The largest side of the second Δ is 24. Find the perimeter of the second Δ.

60 units

Step-by-step explanation:

Ratio of the perimeter = ratio of sides

Sides are in the ratio:

6 : 24

1 : 4

Perimeter of the first triangle:

4+5+6 = 15

Perimeter of the second triangle:

4(15) = 60

  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).