Question

Segment AC has a midpoint B. If AB = 2x - x - 42 andBCI_x+11x +21, find the length of Ac.

Answer 1

The equation for the segment AB is;

`2x^2-x-42`

The equation for the segment BC is ;

`x^2+11x+21`

If segment AC has midpoint at B , this means ;

AC = AB + BC

To get AC we add the equation for AB and BC

Performing addition as;

`2x^2-x-42+x^2+11x+21`

Collect like terms as;

`2x^2+x^2+11x-x-42+21=AC`

`3x^2+10x-21=AC`

Answer

`AC=3x^2+10x-21`