What is the distance between #(4, 7)# and #(-6, -7)#?

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Answer 1 · 2016-01-01T17:06:19

distance # = color(blue)(sqrt(296)#

The points are

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

#(-6,-7 ) = 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((-6-4)^2+(-7-7)^2#

# = sqrt((-10)^2+(-14)^2#

# = sqrt((100 +196)#

# = sqrt((296)#