Given the point a(-3, 5) find the image after the following glide reflection:
translation: (x, y) -> (x - 6, y - 1)
reflection: in x= -1
(7,4)
(3,4)
o(-3,4)
o(-7,-4)

(7, 4 )

Step-by-step explanation:

Under the rule (x, y ) → (x - 6, y - 1 ), then

A(- 3, 5 ) → (- 3 - 6, 5 - 1 ) → (- 9, 4 )

Reflecting (- 9, 4 ) in the line x = - 1

x = - 1 is a vertical line, thus under the reflection the y- coordinate remains unchanged.

- 9 is 8 units to the left of the line x = - 1, hence

The x- coordinate of the reflection will be 8 units to the right of x = - 1

(- 9, 4 ) → (- 1 + 8, 4 ) → (7, 4 )

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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