3. in the university building, sara's office is mapped on the coordinate plane at (10,–7) and the cafeteria is at (5,5). find the distance between them.

13 units

Step-by-step explanation:

Given points (10,–7)  and (5,5)

To find distance between points we apply distance formula

(x1,y1) is (10,–7)   and (x2,y2) is (5,5)

Plug in the values in the formula

D= 13

(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

the answer is simply just 6n add the two together as they have an n