# Points A and B are at #(9 ,4 )# and #(1 ,5 )#, respectively. Point A is rotated counterclockwise about the origin by #(3pi)/2 # and dilated about point C by a factor of #3 #. If point A is now at point B, what are the coordinates of point C?

##### 1 Answer

Aug 12, 2017

The coordinates of

#### Explanation:

Point

The rotation of point

Let point

The dilatation is

Therefore,

The point