Respuesta :

Answer:

The answer is

5.4 units

Step-by-step explanation:

Distance between two points is given by

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

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

From the question

The distance between p(2,2) and q(7,4) is

[tex] |pq| = \sqrt{ ({2 - 7})^{2} + ({2 - 4})^{2} } [/tex]

[tex] |pq| = \sqrt{ ({ - 5})^{2} + ({ - 2})^{2} } [/tex]

[tex] |pq| = \sqrt{25 + 4} [/tex]

[tex] |pq| = \sqrt{29} [/tex]

| pq | = 5.385

We have the final answer as

| pq | = 5.4 units to the nearest tenth

Hope this helps you

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