Brenda is going from $(-4,5)$ to $(5,-4)$, but she needs to stop by the origin on the way. How far does she have to travel?

2 units is the distance that Brenda is going to travel.

Step-by-step explanation:

Given that:

Brenda starts from point to

Let point P and Q .

But given that she need to stop by origin O.

So, she travels from P to O first and then goes form O to Q.

Please refer to the attached figure for better understanding.

We need to find the distance PO + OQ to find the total distance traveled by Brenda.

We can use Distance formula :

For PO:

Similarly, For OQ:

So, the total distance traveled = PO + OQ =

2 units is the distance that Brenda is going to travel.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

(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