Let k and t be current ages of two siblings katie and thomas. katie is currently twice the age of thomas. in 6 years , katie will be 4 times thomas’s current age. how old are katie and thomas ? a. write a system of equation to describe the situation. b. find the solution to the system and answer the question.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .