Question

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

Answer 1

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

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

now, we can plug values

$D=\sqrt{(5-1)^2+(4-2)^2}$

$D=\sqrt{20}$

$D=4.5$