Question

Use the distance formula to find the distance between each pair of points.u (2,3),v(5,7).

Answer 1

$(2,3), \ \ \ \ (5,7)\\\\Distance \ Formula:\ Given \ the \ two \ points \ (x _{1}, y _{1}) and (x _{2}, y _{2}), \\ \\the \ distance \ between \ these \ points \ is \ given \ by \ the \ formula: \\ \\ d= \sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2} \\\\d= \sqrt{( 5-2)^2 +( 7-3)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$