Answer: [tex]\displaystyle d=3\sqrt{5}[/tex]
Step-by-step explanation:
First, we will find the coordinate placement of each point. See attached.
Now, we can use the distance formula.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]d=\sqrt{(6-3)^2 +(-3-3)^2}[/tex]
[tex]d=\sqrt{(3)^2 +(-6)^2}[/tex]
[tex]d=\sqrt{9+36}[/tex]
[tex]d=\sqrt{45}[/tex]
[tex]d=\sqrt{9*5}[/tex]
[tex]\displaystyle d=3\sqrt{5}[/tex]
