What is the distance between #(17,-6)# and #(-1,24)#?

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Answer 1 · 2016-01-12T17:53:55

distance # = sqrt(1224)#

The points given are
#(17, -6) = color(blue)(x_1,y_1#

#(-1, 24) = color(blue)(x_2, y_2#

The distance is found using formula
distance # = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)#

# = sqrt((-1 -17)^2 + (24 - (-6))^2)#

# = sqrt((-18)^2 + (30)^2)#

# = sqrt((324 + 900)#

# = sqrt(1224)#