Find the gradient of the line segment between the points (-5,2) and (4,3) give your answer in the simplest form

The gradient of the line segment between the points (-5,2) and (4,3) is .

Step-by-step explanation:

Formula for gradient of a line segment :

Given points of the line segment: (-5,2) and (4,3)

Therefore , the gradient of the line segment between the points (-5,2) and (4,3) is .

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.