What is the distance between #(–4, 7)# and # ( 7, 4) #?

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Answer 1 · 2016-05-08T12:15:44

#=sqrt(130#

#(-4,7) = color(blue)(x_1,y_1#

#(7, 4) = color(blue)(x_2,y_2#

The distance is calculated using formula:

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

#=sqrt((7 - (-4))^2 + (4- 7)^2)#

#=sqrt((7 + 4)^2 + (- 3)^2)#

#=sqrt((11)^2 + (- 3)^2)#

#=sqrt((121 + 9)#

#=sqrt(130#