Answered

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation. to three decimal places (-3,-2) and (0,2)



Answer :

naǫ
The formula for the distance between points (x₁,y₁) and (x₂,y₂):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex](-3,-2) \\ x_1=-3 \\ y_1=-2 \\ \\ (0,2) \\ x_2=0 \\ y_2=2 \\ \\ d=\sqrt{(0-(-3))^2+(2-(-2))^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]

The distance is 5 units.