*BRAINLIEST* A line segment has endpoints at (-4,-6) and (-6, 4). Which reflection will
produce an image with endpoints at (-4, 6) and (-6,-4)? *
O a reflection of the line segment across the x-axis
O a reflection of the line segment across the y-axis
O a reflection of the line segment across the line y = x
a reflection of the line segment across the line y = -X

A, a reflection of the line segment across the x-axis

Step-by-step explanation:

Since the flip only affects the y- coordinates of the point, then this would be a flip across the x-axis, since reflecting across the x-axis turns negates the y-coordinate.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation:

d

step-by-step explanation: