Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image?

(7, -3)
(11, -3)
(-7, 7)
(7, 3)

(11, - 3 )

Step-by-step explanation:

x = 2 is a vertical line parallel to the y- axis

Under a reflection in this line the y- coordinate remains unchanged.

The point (- 7, - 3 ) is 9 units from x = 2, that is 2 - (- 7) = 2 + 7 = 9

Thus the reflection will be 9 units to the right of x = 2

That is 2 + 9 = 11, thus

T(- 7, - 3 ) → T'(11, - 3 )

(11, -3).

Step-by-step explanation:

The line x = 2 is a vertical line passing through the point (2, 0).

The x coordinate of -7 is 2-(-7)  = 9 units from the line x = 2 so it reflects to

2 + 9 = 11 .

The y coordinate  will remain the same .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

y=x+9

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step-by-step explanation: