Tell whether the lines for each pair of equations are parallel, perpendicular, or neither,

y= -2x+4
-5x+10y=5

Second option.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

It is important to remember the following:

1- The slopes of parallel lines are equal.

2- The slopes of perpendicular lines are negative reciprocal.

Then, given the first equation:

You can identify that:

The second equation is:

Solve for "y":

You can identify that:

Then, since the slopes are negative reciprocal, you can conclude that the lines for the given pair of equations are perpendicular.

(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