What is the distance between #(15,-10)# and #(-5,-12)#?

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Answer 1 · 2016-02-06T13:07:00

distance #d=2sqrt101#

#d=20.09975#

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

Given two points:#(15, -10)# and #(-5, -12)#

Let #P_2(15, -10)# and #P_1(-5, -12)#

so that #x_2=15# and #y_2=-10#

also #x_1=-5# and #y_1=-12#

Direct substitution to the formula:

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

#d=sqrt((15--5)^2+(-10--12)^2)#

#d=sqrt((15+5)^2+(-10+12)^2)#

#d=sqrt((20)^2+(2)^2)#

#d=sqrt(400+4)#

#d=sqrt(404)#

#d=2sqrt101#

#d=20.09975#

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