An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found—one at position (1,4) and the other at (5,2). How far apart were the two artifacts? Round to the nearest tenth of a unit if necessary

Respuesta :

Answer:

The distance between both positions are 4.5

Step-by-step explanation:

we are given

Two similar artifacts are found—one at position (1,4) and the other at (5,2)

First point is (1,4)

x1=1

y1=4

Second point is (5,2)

x2=5

y2=2

now, we can use distance formula

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

now, we can plug values

[tex]D=\sqrt{(5-1)^2+(4-2)^2}[/tex]

[tex]D=\sqrt{20}[/tex]

[tex]D=4.5[/tex]