which are you trying to show is true in Step 3 of a proof by mathematical induction for the statement "For all the positive integers, n' + 2n is divisible by 3"

If δmtv is reflected across the y-axis, what are the resulting coordinates of point m? a) (-2, 5) b) (-5, 2) c) (5, -2) d) (-2, -5)

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) .

The architect's side view drawing of a saltbox-style house shows a post that supports the roof ridge. the support post is 8 ft tall. the distance from the front of the house to the support post is less than the distance from the post to the back of the house. how far from the front of the house is the support post positioned?