What is the value of x in the equation 3(2x + 8) = 0? (4 points) Group of answer choices −8 −4 4 8

-4

Step-by-step explanation:

Start with 3(2x + 8) = 0.

Distribute the 3 to the 2x and 8 in the parentheses.

That will give you 6x + 24 = 0.

Subtract 24 from both sides, which will get x by itself and leave you with 6x = -24.

Divide both sides by 6 to get x = -4.

That is your answer.

Hope this helped.

answer: no, but if it does it's a obvious pattern.

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