The coordinate of j' after a reflection of the triangle is about the line y= -x. the coordinates of j is (-2,-1)

The reflection line is located at y = -x

For point J, x is -2, so y = -(-2), which equals 2.

When it is a reflection across Y, the X values remain the same.

Find the distance of the Y point to the reflection line,

The distance from -1 to 2 is 3 units.

The new point needs to be the same distance from the reflection line.

2 +  3 units = 5.

Point J' would be (-2,5)

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

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.'

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