15 pts The black graph is the graph of y=f(x). Choose the equation for the red graph

Option C is the correct answer.

Step-by-step explanation:

Let's take 1 point from each graph and make sure that they have the same "x" coordinate. We are going to notice that it does not matter what 2 points with he same "x" coordinate we are going to choose the "y" value of the the point located on the red graph will always be greater by 1. That means that if black graph has the equation (y = f(x)), the red graph is going to have and equation that looks like (y = f(x) + 1). Now we get the following

y = f(x) + 1

y - 1 = f(x) + 1 - 1

y - 1 = f(x)

So the answer is the option c.

(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

answer: 1475

step-by-step explanation:

becuase you have to know what they are asking you