Worth 20 points look at image! Only gotta do pt1

y= -1/4x+3/4

Step-by-step explanation:

You are given (-5,2) and x=4

This means that the slope is 4

When finding perpendicular, the slope is the reverse reciprocal of the original slope. The reverse of 4 is -4. The recirprocal is the opposite of -4/1, so it is -1/4.

Slope= -1/4

The slope-intercept form is y=mx+b where you are trying to find b.

Plug in the y value in (-5,2) for y

Plug in the slope for m

Plug in the x value in (-5,2) for x

y=2

m= -1/4

x= -5

y=mx+b

2= -1/4(-5)+b   Plug in everything

2= 5/4+b        Multiply -1/4 and -5

3/4=b             Subtract 5/4 from 2 and you get b

Since we have b now we can make an equation using it.

y=mx+b         Use the form

y= -1/4x+3/4  Plug in m and b

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.