Question

Find the distance between the points (-3, 9) and (6,-5). Round the answer to the nearest tenth.

A)
5.0
14.3
16.6

Answer 1

D. 16.6

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) = (-3,9)`

`(x_2,y_2) = (6,-5)`

Replacing these values in the distance formula

`D =√((-3-6)^2+(9-(-5))^2)`

`D =√((-9)^2+(9+5)^2)`

`D =√((-9)^2+(14)^2)`

`D =√(81+196)`

`D =√(277)`

`D= 16.6433`

Hence the Distance is 16.60 units