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

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Answer 1 · 2016-05-01T17:14:04

The distance #= sqrt (185)#

#(-6,-6) = color(blue)(x_1 , y_1)#

#(5,2) = color(blue)(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)#