Answer:
The answer is
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
Hope this helps you