Question

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

Answer 1

Distance=
`√(40)`

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=√((x_2-x_1)^2+(y_2-y_1)^2)`

For the points:

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

`Distance=√((4-(-2))^2+(3-1)^2) \\\\=√((4+2)^2+(2)^2) \\\\=√(6^2+2^2)\\\\ =√(36+4)\\\\=√(40)`

The distance between the points is:
`√(40)`