Question

Can someone help me with this question

Answer 1

Answer: $\displaystyle d=3\sqrt{5}$

Step-by-step explanation:

     First, we will find the coordinate placement of each point. See attached.

     Now, we can use the distance formula.

$\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}$

$d=\sqrt{(6-3)^2 +(-3-3)^2}$

$d=\sqrt{(3)^2 +(-6)^2}$

$d=\sqrt{9+36}$

$d=\sqrt{45}$

$d=\sqrt{9*5}$

$\displaystyle d=3\sqrt{5}$