ALGEBRA
NATION
Solve the following equation for g: 2(g- h) = b + 4
A) g = b + h + 4
B) g = b + 2h + 4
C) g = b + h + 2
D) g = b/2 + h + 2

D

Step-by-step explanation:

Multiplying out 2(g-h):

2g -2h = b+4

Taking 2h on the right hand side of the equation:

2g = b+4 +2h

Dividing by 2 on both sides:

g = b/2 +2 +h

can you put the picture up?

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240