TRANSFORMING LINEAR FUNCTIONS Linear function f is transformed to produce g. Write g(x) in terms of f(x).
fx=-x is translated 2 units up f(x) = -x +2

fx=-4x+5 is translated 6 units down

fx=13x is translated 3 units left

fx=2x+9 is translated 7 units right

fx=2x is reflected across the y- axis

fx=x-7 is reflected across the x- axis

Linear function f is transformed twice to produce g. Write g(x) in terms of f(x).
f is translated 5 units right, then 4 units down

f is translated 6 units up, then reflected across the x- axis

4 puzzles in 3 hours

step-by-step explanation:

the answer is two. hope this !

(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