Find the distance between the points LaTeX:  \displaystyle \left( 48, \  -60\right) and LaTeX:  \displaystyle \left( 160, \  6\right) .

The distace formula gives LaTeX:  \displaystyle d=\sqrt{ ((160)-(48))^2 + ((6)-(-60))^2 }=\sqrt{ 12544 + 4356 } . Simplifying gives LaTeX:  \displaystyle d = 130 .