Determine whether the dilation from a (blue figure) to b (green figure) is an enlargement or reduction, then find the scale factor of the dilation.

a. reduction; scale factor of 2/5
b. enlargement; scale factor of 5/2
c. reduction; scale factor of 2/3
d. enlargement; scale factor of 3/2

Option B

Step-by-step explanation:

In the figure attached we have to find the scale factor of dilation of figure A to figure B.

Since figure A is smaller than figure B, it concludes figure A has been enlarged to form figure B.

Now we have to find the scale factor of enlargement.

Scale factor =  

=  

Therefore option B is the correct answer.

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:

answer: h

step-by-step explanation: