Question

A garden has the shape of a right triangle with one leg
8
meters longer than the other. The hypotenuse is
8
meters less than twice the length of the shorter leg. What is the length of the shorter​ leg?

Answer 1

short leg = x
long leg = x+8
hypotenuse = 2x-8
so
{ 2(x-4) }^2 = x^2 + (x+8)^2

4 (x^2 - 8 x + 16)= x^2+x^2+16x+64

4x^2 -32 x + 64 = 2 x^2 +16 x + 64

2 x^2 -48 x = 0
x = 0 works
but
x = 24
*******************
check
24 , 32 , 40
or /8
3 , 4, 5 LOL yes, right triangle

Answer 2

Billy charges $15 to mow a yard. He needs at least $200 for the new bicycle that he wants. Write and solve an inequality to find out how many yards must he mow to make at least $200?
A) 11 yards
B) 12 yards
C) 13 yards
D) 14 yards

Answer 3

b) 12

Answer 4

D) 14

Answer 5

14