Respuesta :

Answer:

[tex] \sqrt{74 } [/tex]

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Answer:

The answer is

[tex] \sqrt{74} \: \: \: or \: \: \: 8.602 \: \: \: units[/tex]

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

W(12, 2), X(7,9)

The distance is

[tex] |WX| = \sqrt{ ({12 - 7})^{2} + ( {2 - 9})^{2} } \\ = \sqrt{ {5}^{2} + ( { - 7})^{2} } \\ = \sqrt{25 + 49} \\ [/tex]

We have the final answer as

[tex] \sqrt{74} \: \: \: or \: \: \: 8.602 \: \: \: units[/tex]

Hope this helps you