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What is the distance between the points with coordinates $(-5,5)$ and $(5,-5)$? Express your answer in simplest radical form.

 Nov 21, 2017
 #1
avatar+128089 
+2

Distance  =

 

√ [   (subtract the x coordinates)^2  + (subtract the y coordinates)^2 ]  =

 

√  ( - 5 - 5)^2 +  (  5 -  - 5)^2 ]  =

 

√  (-10)^2  +  ( 10)^2 ]  =

 

√  [ 100  + 100]  =

 

√  [100 * 2 ]  =

 

√ 100 * √2

 

10√2  units

 

 

cool cool cool

 Nov 21, 2017

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