Question

I need to know if it’s A,B c or D

Answer 1

We want to find the length |PO|

First notie that |PG| = |GO|

We are already given that

`\begin{gathered} |PG|=-x+10 \\ |GO|=-3(x+2) \end{gathered}`

We will equate te above equations and solve for x

`\begin{gathered} |PG|=|GO| \\ -x+10=-3x-6 \\ 3x-x=-6-10 \\ 2x=-16 \\ x=-(16)/(2) \\ x=-8 \end{gathered}`

Therefore,

`\begin{gathered} |PG|=-x+10=-(-8)+10=18 \\ |GO|=-3(x+2)=-3(-8+2)=-3(-6)=18 \end{gathered}`

Therefrore, the length |PO| is

`|PO|=18+18=36`

Therefore, the answer is Option A