Find the distance between the point (-8,-8) and (4,-4)

Question

A) 4

B) 4√10

C) 4√2

D) 12

E) None of the above

Please answer!!!

Answer 1

The distance formula is

D = sqrt( (x1-x2)^2 + (y1-y2)^2 )

Taking (x1,y1) = (-8,-8) and (x2,y2) = (4,-4), we substitute in:

D = sqrt( (-8-4)^2 + (-8- (-4))^2 ) = sqrt( (-12)^2 + (-4)^2 ) = sqrt( 160 ) = sqrt( 16*10) = sqrt( 16) *sqrt(10) = 4*sqrt(10).