Circle A has center of (0, 4) and a radius of 6, and circle B has a center of (−3, 5) and a radius of 24. What steps will help show that circle A is similar to circle B?

Two circles are similar because they have the same shape

Step-by-step explanation:

Circle A with center  ( ( 0 , 4 ) )  and radius  6  has a Cartesian equation

                         ( x − 0 ) 2^2 +  ( y − 4 ) ^2  =  6^ 2

Circle B with center  ( ( − 3 , 5 ) )  and radius  24  has a Cartesian equation

                        (x+3)^2 + (y-5)^2 = 24^2

In the Cartesian plane:

translation (shift) of    ( a , b )  vector

Every coordinate  x  value has  a  added to it; and  every coordinate  y  value has  b  added to it.

Applying a translation of  

→ ( 0 , 4 ) to circle A  gives the circle A' with the equation:

                ( ( x 0 )  −  0 ) ^2  +  ( ( y + 4 ) − 4 )^ 2  =  6^ 2

                            → x ^2  + y^ 2 = 6 ^2

Applying a translation of   → ( 3 , − 5 )  to circle B  gives a circle B' with the equation:

                      ( ( x + 3 ) − 3 )^ 2 + ( ( y − 5 ) + 5 )^ 2 = 24 ^2

Applying a dilation of  4 to the equation of Circle A' gives the circle A'' with equation

                            x ^2  +  y^ 2  =  ( 6 × 4 ) ^2

                               → x^ 2 + y ^2  =  24 ^2

Since the equations for A'' and B' are identical ,

⇒  Circle A and Circle B are similar.

Dilate the figure x4

Step-by-step explanation:

took the test

the answer is c. hope this !

step-by-step explanation:

answer: f = 32.2m

step-by-step explanation: that is the answer