What is the distance between #(13,-11)# and #(22,-4)#?

1 Answer
Dec 20, 2015

Answer:

#sqrt(130)# units

Explanation:

The distance between two points can be calculated with the formula:

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

where:
#d=#distance
#(x_1, y_1)=(13, -11)#
#(x_2, y_2)=(22, -4)#

Substitute your known values into the distance formula to find the distance between the two points:

#d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)#
#d=sqrt(((22)-(13))^2+((-4)-(-11))^2)#
#d=sqrt((9)^2+(7)^2)#
#d=sqrt(81+49)#
#d=sqrt(130)#

#:.#, the distance between the two points is #sqrt(130)# units.