Answer:
[tex]d=\sqrt{26}\approx5.0990[/tex]
Step-by-step explanation:
To find the distance between any two points, we can use the distance formula.
The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Let (2,8) be x₁ and y₁ and let (7,7) be x₂ and y₂. Thus:
[tex]d=\sqrt{(7-2)^2+(7-8)^2}[/tex]
Simplify:
[tex]d=\sqrt{5^2+(-1)^2}[/tex]
Square:
[tex]d=\sqrt{25+1}[/tex]
Add:
[tex]d=\sqrt{26}\approx5.0990[/tex]
And that's our answer :)