# What is the distance between  (-6, -6)  and  (5,2) ?

May 1, 2016

The distance $= \sqrt{185}$

#### Explanation:

$\left(- 6 , - 6\right) = \textcolor{b l u e}{{x}_{1} , {y}_{1}}$

$\left(5 , 2\right) = \textcolor{b l u e}{{x}_{2} , {y}_{2}}$

The distance is calculated using formula:
Distance =sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2

= sqrt ((5- (-6))^2 + ( 2 - (-6) )^2

= sqrt ((5 + 6)^2 + ( 2 + 6 )^2

= sqrt ((11)^2 + ( 8 )^2

$= \sqrt{121 + 64}$

$= \sqrt{185}$