If FGH ~ KJH, find FH.

39

Step-by-step explanation

GH/FH=JH/KH

x+8/4x-25=32/52 then cress cross

52x+416=128x-800

416+800 = 128x - 52x

1216 = 76x

1216/76 = 76x/76

16 =X so

FH =4x - 25

FH=4 x 16 - 25

FH=64-25

FH=39

Check

GH/FH=JH/KH

x+8/4x-25=32/52

16+8/4x16-25=32/52

24/39=32/52 simplify

8/13=8/13

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: