A(-2,-5) is a glide reflection wear the translation is (x, y) is x+7,y and the line of reflection is y=2 what is a’

point A' is (5, 9)

Step-by-step explanation:

A (-2,-5) is a glide reflection wear the translation is (x,y) is x+7,y and the line of reflection is y=2

A is (-2,-5)

a glide reflection wear the translation is (x,y) is (x+7,y)

7 is added with x, so add 7 with x  value -2 on A(-2,-5)

(-2+7, -5)

(5,-5)

Reflection is y=2

So we need to find the difference of y values of point (5,-5) and y = 2

2-(-5) = 7

So we move 7 units up from y = 2. y=2+7 = 9

x value remains the same x=5

Hence point A' is (5, 9)

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)