I need a touter to help me with this test and this answer

D.

Step-by-step explanation:

The answer is D. because the product refers to the result of the multiplication. So, the equation is multiplying 4 to the (x + y)^2, which is the square of the sum of x and y.

key points to know: sum (means addition) product (means result of the multiplication)

A. would not be correct because we are not adding 4 to the x and y multiplied.

B. would be incorrect because the sum of x and y squared is not added to 4

C. is incorrect because the product of 4 and the sum of x and y is leaving out the square part

D is the correct answer!

step-by-step explanation:

if x = 2 you have to find x to finish the problem

(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