What is the distance between #(3, 2)# and # (-2, 4) #?

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Answer 1 · 2016-05-26T15:36:49

The distance #=sqrt (29)#

#(3,2) = color(blue)((x_1 , y_1)#

#(-2,4) = color(blue)((x_2 , y_2)#

The distance is calculated using formula:

Distance #=color(blue)(sqrt ((x_2 - x_1)^2 + (y_2 - y_1)^2)#

#=sqrt ((-2 -3)^2 + (4-2)^2)#

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

#=sqrt ((25 +4)#

#=sqrt (29)#