Answer:
5.0 units
Step-by-step explanation:
The distance between two points can be expressed in formula of:
[tex]\displaystyle{d = \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}}[/tex]
Determine:
Therefore, substitute in the formula to find distance:
[tex]\displaystyle{d = \sqrt{\left(5-2\right)^2+\left(10-6\right)^2}}\\\\\displaystyle{d = \sqrt{3^2+4^2}}\\\\\displaystyle{d = \sqrt{9+16}}\\\\\displaystyle{d = \sqrt{25}}\\\\\displaystyle{d = 5}[/tex]
Therefore, the distance between two points is 5.0 units.