1.) Identify the graph of the linear equation 2x+2y-z=-4 in three... 1.) Identify the graph of the linear equation 2x+2y-z=-4 in three dimensional space.
2.) Identify the graph of the linear equation x+4y+2z=8 in three dimensional space.
3.)Identify the graph for the point E(-1,3,-1) in three-dimensional space.
4.) Identify the graph of the linear equation 4x+2y+z=8
in three dimensional space.
5.) Identify the graph for the point C(-2,-1,2) in three dimensional space.
6.) Identify the graph for of the point G(0,-1,-3) in three dimensional space.

(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

2(2x + 3) = -4 + 2(2x + 5)

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 6

4x - 6 + 6 = 4x - 6 + 6

4x = 4x

x = x

unlimited solutions.

b