Find the radio in which p (4, m) divides the line segment joining the points a (2, 3) and b (6, -3). hence find m

The  value of m is 0.

Step-by-step explanation:

Let the point P divides the line AB in k:1.

The coordinates of line AB are A (2, 3) and B (6, -3).

The coordinates of P are (4,m).

By section formula, if a point divides a line in m:n, then

It means the point P divides the line AB in 1:1. So, P is the midpoint of AB.

Therefore the value of m is 0.

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.