Answer: [tex]\sqrt{145}[/tex]
Step-by-step explanation:
1. use the distance formula!
[tex]distance = \sqrt{(x_{2} - x_{1})^{2} +{(y_{2} - y_{1})}^2[/tex]
2. then using the distance formula with (2, 7) and (-6, -2) you get...
[tex]distance= \sqrt{2 -(-6)^2 +(7 - (-2)^2}[/tex]
[tex]distance= \sqrt{8^2 +9^2}[/tex]
[tex]distance= \sqrt{64 +81}[/tex]
[tex]distance= \sqrt{145}[/tex]
[tex]\sqrt{145}[/tex] is the simplest radical form
:D
