Respuesta :

Answer:

The answer 4.2 units

Step-by-step explanation:

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

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

C(2,4) and D (5. 7)

We have

[tex] |CD| = \sqrt{ ({2 - 5})^{2} + ({4 - 7})^{2} } \\ = \sqrt{ ({ - 3})^{2} + ( { - 3})^{2} } \\ = \sqrt{9 + 9} \\ = \sqrt{18} \: \: \: \: \: \\ = 3 \sqrt{2} \: \: \: \: \: \\ = 4.242640687...[/tex]

We have the final answer as

4.2 units to the nearest tenth

Hope this helps you