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

1 Answer

distance d=2sqrt101

d=20.09975

Explanation:

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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