Respuesta :

Answer:

The answer is 5.4 units

Step-by-step explanation:

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

[tex]d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\[/tex]

From the question the points are

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

The distance between them is

[tex] |FG| = \sqrt{ ({6 - 4})^{2} + ({9 - 14})^{2} } \\ = \sqrt{( { - 2})^{2} + ({ - 5})^{2} } \\ = \sqrt{4 + 25} \\ = \sqrt{29} \: \: \: \: \: \: \: \: \\ = 5.3851...[/tex]

We have the final answer as

5.4 units

Hope this helps you

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