The slope of ab¯¯¯¯¯ is −4. which segments are parallel to ab¯¯¯¯¯ ? select each correct answer.

CD and EF

Step-by-step explanation:

The slope of AB = -4

Two lines are said to be parallel if they have same slopes.

Slope =

Option 1)J= (8,2) and K (12,3)

Slope =

Substitute the values

Slope =

Slope =

Since the Slope of AB and JK is not equal . So, AB and JK are not parallel.

Option 2)C= (6,2) and D (4,10)

Slope =

Substitute the values

Slope =

Slope =

Slope =

Since the Slope of AB and CD is equal. So, CD is parallel to AB.

Option 3)E= (1,9) and F (2,5)

Slope =

Substitute the values

Slope =

Slope =

Slope =

Since the Slope of EF and CD is equal. So, EF is parallel to AB.

Option 4)G= (1,0) and H (1,4)

Slope =

Substitute the values

Slope =

Slope =

Slope =

Since the Slope of GH and CD is not equal. So, GH is not parallel to AB.

The slope of AB is equal to the slopes of CD and EF

Hence CD and EF are parallel to AB

(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

correct answer is c. just did it

step-by-step explanation: