What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6?

First we have to find the slope of the givent line and for that we use rise / run method .

The points are (-4,4),(4,-2)

Here rise is

And run is

So slope is

And the slopes of perpendicular lines are negative reciprocal of each other .

Therefore the slope of the required perpendicular line is

Now we use slope intercept form, and put x intercept , that is (6,0) and the slope that is 4/3 ,

Therefore required equation is

Correct option is the third option .

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.

77

step-by-step explanation: