Question

Can someone help me with this question

Answer 1

Answer:
`\displaystyle d=3√(5)`

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=√((6-3)^2 +(-3-3)^2)`

`d=√((3)^2 +(-6)^2)`

`d=√(9+36)`

`d=√(45)`

`d=√(9*5)`

`\displaystyle d=3√(5)`