Consider a function f(x) = |x|. A second function g(x) is the result of translating f(x) by 5 units in the negative y-direction (downward), and 3 units in the positive x-direction (to the right). Write the equation of g(x).

Answer asap ! the shortest path from point a to point b goes through a pond. to avoid the pond, you must walk straight 34 meters along one edge of the pond, then take a 90 degree turn, and again walk straight 41 meters along another edge of the pond to reach point b. about how many meters would be saved if it were possible to walk through the pond? a. 11 m b. 20 m c. 30.45 m d. 21.73 m

Simplify. (-2)^-3 a. -8 b. -1/8 c. 1/8 d. 8

Which numbers have the same absolute value? choose all that apply. asap will mark at brainliest