Circle O has center (5,5) and radius 4. Circle P has center (3,-1) and radius 5. Which describes how circle O can be transformed so that circle O is similar to circle P?

Guest Mar 10, 2017

#2**+5 **

Circle O has center (5,5) and radius 4. Circle P has center (3,-1) and radius 5. Which describes how circle O can be transformed so that circle O is similar to circle P?

\(m=\) \(\frac{y_o-y_p}{x_o-x_p}=\frac{5-(-1)}{5-3}\) \(=3\)

\(y=mx+b\)

\(b=\) \(y-mx\) = \(5-3\times5\) = \(-1-3\times3\) = \(-10\)

\(y=3x-10\)

\(d=\sqrt{(y_o-y_p)^2+(x_o-x_p)^2}=\sqrt{(5-(-1))^2+(5-3)^2}=\sqrt{36+4}=\sqrt{40}\)

\(d=6.324555\)

For the conglomeration with circle O

move the circle P upwards on the straight line

**y = 3x - 10 **

by

**d = 6.324555**

** !**

asinus
Mar 10, 2017