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 )

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true