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

1 Answer
Dec 20, 2015

sqrt(130)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)d=(x2x1)2+(y2y1)2

where:
d=d=distance
(x_1, y_1)=(13, -11)(x1,y1)=(13,11)
(x_2, y_2)=(22, -4)(x2,y2)=(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=(x2x1)2+(y2y1)2
d=sqrt(((22)-(13))^2+((-4)-(-11))^2)d=((22)(13))2+((4)(11))2
d=sqrt((9)^2+(7)^2)d=(9)2+(7)2
d=sqrt(81+49)d=81+49
d=sqrt(130)d=130

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