The shorter leg of a right triangle is 8 less than the hypotenuse. The longer leg is 1 less than the hypotenuse. Find the perimeter of the triangle.

Perimeter is 30

Explanation:

short leg = h - 8

longer leg = h -1

(h-8)^2 + (h -1)^2 = h^2

h^2 - 16h + 64 + h^2 - 2h + 1 = h^2

h^2 - 16h + 64 + h^2 - 2h + 1 - h^2 = 0

h^2 - 18h + 65 = 0

(h  -   13 )(h    -   5  ) = 0

h-13 = 0 --->  h = 13  ---> short leg is 5 and long leg is 12 ---> perimeter is 30

h-5 = 0 ---> h = 5 --> short leg is -3 and long leg is 4 <--- disqualified because leg measure cannot be negative

short leg is 5, long leg is 12, hypotneuse is 13

5^2 + 12^2 = 25 + 144 = 169 = 13^2 <--- pythagorean check

perimeter is 5 + 12 + 13 = 30

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

my guess would be b and d, but i didn’t actually get out the pen and paper. lol