What is the distance between #(3,-5)# and #(2,-2)#?

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Answer 1 · 2016-01-01T16:34:12

distance #=color(blue)(sqrt(10#

The points are

#(3,-5) = color(blue)(x_1,y_1#

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

Distance is calculated using formula

distance #=sqrt((x_2-x_1)^2 + (y_2-y_1)^2#

#=sqrt((2-3)^2 + (-2-(-5))^2#

#=sqrt((-1)^2 + (-2+5)^2#

#=sqrt((1 + (3)^2#

#=sqrt(1 + 9#

distance #=color(blue)(sqrt(10#