Question

4. (0,-8) and (3, 2)
Find the distance

Answer 1

10.44 units

Explanation:

Here we are given with two coordinates and asked to determine the distance between them.

Here we are going to use the distance formula, which is given as under

`D=√((y_2-y_1)^2+(x_2-x_1)^2)`

Where

`(x_1,y_1) = (0,-8)`

`(x_2,y_2) = (3,2)`

Replacing these values in the distance formula

`D =√((8-(-2))^2+(3-0)^2)`

`D =√((8+2)^2+(3)^2)`

`D =√(100+9)`

`D =√(109)`

`D= 10.44`

Hence the distance is 10.44 units