Circle A has center of (4,5) and a radius of 3 and circle B has a center of (1,7) and a radius of 9. What steps will help show that circle A is similar to circle B?

Move the center of circle A to (1,7), then multiply its radius by 3.

Step-by-step explanation:

Moving the circles to the same center would make them concentric.  Then, by multiplying the radius of Circle A by 3, the circle is dilated to the exact size of circle B, since its radius is 9.  This shows that Circle B is proportional to Circle A, thus they are similar.  

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

i pretty sure it is