Question

S is the midpoint of segment OU. OS= 7x-9 and SU=4x+3. Determine the length of segment OU.

Answer 1

The equation for the value of OU is;

`OU=11x-6`

Step-by-step explanation:

Given that S is the midpoint of segment OU.

Then;

`OU=OS+SU`

Given in the question;

`\begin{gathered} OS=7x-9 \\ SU=4x+3 \end{gathered}`

Substituting the values of OS and SU to get OU;

`\begin{gathered} OU=OS+SU \\ OU=7x-9+4x+3 \\ OU=7x+4x-9+3 \\ OU=11x-6 \end{gathered}`

Therefore, the equation for the value of OU is;

`OU=11x-6`