Respuesta :

The distance between two (4, 6) and (5, 0) is 6.08 units.

Solution:

The given points are (4, 6) and (5, 0).

[tex]x_1=4, y_1=6, x_2=5, y_2=0[/tex]

To find the distance between two points:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{(5-4)^2+(0-6)^2}[/tex]

[tex]d=\sqrt{1^2+(-6)^2}[/tex]

The value of 1² = 1

The value of (–6)² = 36

[tex]d=\sqrt{1+36}[/tex]

[tex]d=\sqrt{37}[/tex]

d = 6.08

The distance between two (4, 6) and (5, 0) is 6.08 units.