Question

What is the distance between points F(6, 9) and G(4, 14)? Round to nearest TENTH.

Answer 1

The answer is 5.4 units

Explanation:

The distance between two points can be found by using the formula

`d = \sqrt{ ({x_1 - x_2})^(2) + ({y_1 - y_2})^(2) } \\`

From the question the points are

F(6, 9) and G(4, 14)

The distance between them is

`|FG| = \sqrt{ ({6 - 4})^(2) + ({9 - 14})^(2) } \\ = \sqrt{( { - 2})^(2) + ({ - 5})^(2) } \\ = √(4 + 25) \\ = √(29) \: \: \: \: \: \: \: \: \\ = 5.3851...`

We have the final answer as

5.4 units

Hope this helps you