Respuesta :

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:

  • [tex]\displaystyle{(x_2,y_2)}[/tex] is (5,10).
  • [tex]\displaystyle{(x_1,y_1)}[/tex] is (2,6).

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.