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?
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?
Answers
Damon
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
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
christian
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
A) 11 yards
B) 12 yards
C) 13 yards
D) 14 yards
lea
b) 12
derb
D) 14
leo port
14