Brent was looking at his cell phone bill and saw that the total number of texts he has sent is tracked.

month texts
1 120
2 237
3 354
4 471

the function representing brent's texting per month is f(m) = 117m + 3. what does the 117 represent?

a. the number of texts at the start

b. the number of the month when brent was texting

c. the number of texts brent had in total

d. the number of the additional texts per month

(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: (-6,3)

step-by-step explanation: