Question

What is the distance between the two points to the nearest tenth

Answer 1

Answer:

Distance=$\sqrt{40}$

Step-by-step explanation:

The distance between two points in coordinate system can be find by using the distance formula;

The distance between two points: $(x_1,y_1)$ and $(x_2,y_2)$ can be find by:

               $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

For the points:

                       $(-2,1)$ and $(4,3)$

$Distance=\sqrt{(4-(-2))^2+(3-1)^2} \\\\=\sqrt{(4+2)^2+(2)^2} \\\\=\sqrt{6^2+2^2}\\\\ =\sqrt{36+4}\\\\=\sqrt{40}$

The distance between the points is:$\sqrt{40}$