Answer:
[tex]d=\sqrt{45}[/tex], or [tex]d=3\sqrt{5}[/tex], or about 6.7
Step-by-step explanation:
[] We can use the distance formula to solve.
-> [tex]d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }[/tex]
-> P(6, -3) will be point one
-> P(3, -9) will be point two
[] Plugging in and solving:
[tex]d=\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1})^{2 } }[/tex]
[tex]d=\sqrt{(3 -6)^{2} +(-9--3)^{2 } }[/tex]
[tex]d=\sqrt{(3 -6)^{2} +(-9+3)^{2 } }[/tex]
[tex]d=\sqrt{(-3 )^{2} +(-6)^{2 } }[/tex]
[tex]d=\sqrt{9 +36 }[/tex]
[tex]d=\sqrt{45}[/tex]
[tex]d=3\sqrt{5}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather