What is the distance between P(-3, -2) and Q(11, 0)?

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Answer 1 · 2018-06-20T16:29:47

#d = 10sqrt2#

The distance formula for two points #(x_1,y_1)# and #(x_2,y_2)# is:

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

Substituting in the points #(-3,-2)# and #(11,0)#:

#d = sqrt((11--3)^2+(0--2)^2)#

#d = sqrt(14^2+2^2)#

#d = sqrt(196+4)#

#d = sqrt(200)#

#d = 10sqrt2#