Given:
Positions of two artifacts are at points (1, 4) and (5, 2).
To find:
The distance between these two artifacts.
Solution:
Distance formula: The distance between two points is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using distance formula, the distance between two points (1, 4) and (5, 2) is
[tex]d=\sqrt{(5-1)^2+(2-4)^2}[/tex]
[tex]d=\sqrt{(4)^2+(-2)^2}[/tex]
[tex]d=\sqrt{16+4}[/tex]
[tex]d=\sqrt{20}[/tex]
[tex]d=4.4721359[/tex]
Round to the nearest tenth of a unit.
[tex]d\approx 4.5[/tex]
Therefore, the distance between two artifacts is 4.5 units.
