The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B

The coordinates of B are (5,2).

Step-by-step explanation:

Given that,

The midpoint of AB is M (4,-2).

The coordinates of A are (3,-6)

We need to find the coordinates of B. Let the coordinates of B are (x,y).

The mid point is given by :

So, the coordinates of B are (5,2).

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:

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values