Question

Find the distance between (2,7) and (-6,-2)

Answer 1

Answer: $\sqrt{145}$

Step-by-step explanation:

1. use the distance formula!

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

2. then using the distance formula with (2, 7) and (-6, -2) you get...

$distance= \sqrt{2 -(-6)^2 +(7 - (-2)^2}$

$distance= \sqrt{8^2 +9^2}$

$distance= \sqrt{64 +81}$

$distance= \sqrt{145}$

$\sqrt{145}$ is the simplest radical form

:D