Maggie constructs a triangle with sides lengths 7 centimeters long and 10 centimeters long.
which is not a possible length for the third side?
a)16 centimeters

b)4 centimeters

c)2 centimeters

d)7 centimeters

C) 2 Centimeters

Step-by-step explanation:

The Triangle Inequality Theorem states that sum of any two sides of a triangle has to be greater than the measure of the 3rd side. So lets use the 2 centimeters option to explain this. Say now we have a triangle with side lengths that are 7 centimeters long, 10 centimeters long, and 2 centimeters long. 7+10=17, which is greater than two. However 7+2=9, which is not greater then 10. Therefore it is not following the Triangle Inequality Theorem. So the length 2 centimeters is not a possible length for the third side.

(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

.25

step-by-step explanation: