Question

What is the approximate distance between the points (-6,8) and (4,13)

Answer 1

`D=11.180`

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) = (-6,8)`

`(x_2,y_2) = (4,13)`

Replacing these values in the distance formula

`D =√((13-8)^2+(4-(-6))^2)`

`D =√((5)^2+(10)^2)`

`D =√(25+100)`

`D =√(125)`

`D=11.180`

Hence the Distance is 11.180 units