Question

Use the distance formula to find the distance between each pair or points. round to the nearest tenth if necessary. C(-5, -3), D(-4, -2)

Answer 1

`C(-5, -3), \ \ D(-4, -2)\\ \\ 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=√(( -4-(-5))^2 +(-2-(-3))^2)\\ \\d=√(( -4+5)^2 +(-2+3)^2)\\ \\d=√(1^2 + 1^2)\\ \\d= √(1+1)=√(2) \approx 1.4`