What is the distance between #(-45,-8)# and #(-37,2)#?

1 Answer
Dec 29, 2015

Answer:

#2sqrt(41)#

Explanation:

The distance formula for Cartesian coordinates is

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2#
Where #x_1, y_1#, and#x_2, y_2# are the Cartesian coordinates of two points respectively.
Let #(x_1,y_1)# represent #(-45,-8)# and #(x_2,y_2)# represent #(-37,2)#.
#implies d=sqrt((-37-(-45))^2+(2-(-8))^2#
#implies d=sqrt((-37+45)^2+(2+8)^2#
#implies d=sqrt((8)^2+(10)^2#
#implies d=sqrt(64+100)#
#implies d=2sqrt(16+25)#

#implies d=2sqrt(41)#

Hence the distance between the given points is #2sqrt(41)#.