Select ALL of the following equations which represent a function. (x - 2)2 (y + 3)?
25
+
= 1
16
(y - 3) = 8(x – 4)
x2 + y2 = 25
x2 - 6y2 + 12y + 30 = 0
P = 10000.05
S(x) = V(x - 5) + 7
log3(x - 4) = y

(-5,-28)

i graphed to on desmos.

a - base

b - exponent

so,

(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

x = 3 ± √(5+y)