What is the equation of a circle with its center at (10,−4) and a radius of 2?
(x−10)2+(y+4)2=2
(x+10)2+(y−4)2=4
(x+10)2+(y−4)2=2
(x−10)2+(y+4)2=4

The answer to your question is the last option ( (x - 10)² + (y +4)² = 4 )

Step-by-step explanation:

Data

Center = (10, -4)

radius = 2

Formula

                        (x - h)² + (y - k)² = r²

Substitution

h = 10

k = -4

r = 2

                        (x - 10)² + (y +4)² = 2²

Equation

                       (x - 10)² + (y +4)² = 4

(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

could

step-by-step explanation:

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