Triangle abc was translated 2 units to the right and 3 units down. which rule describes the translation that was applied to triangle abc to create triangle a′b′c′? a) (x, y) → (x – 3, y + 2) b) (x, y) → (x + 2, y – 3) c) (x, y) → (2x, –3y) d) (x, y) → (–3x, 2y)

The answer is B. When something is being translated right, it will be represented with an addition sign, while if it's being translated left, it will be represented with an subtraction sign. The same thing applies when it is translated up and down. Up is represented with an addition sign, while down is represented with a subtraction sign.

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An example of this can be a point being translated 3 units to the left and 3 units upwards. The translation would look like this:

(x-3, y-3) :)

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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