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

Explanation:

Answer:

The distance between both positions are 4.5

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

now, we can plug values

Answer 2

The distance between both positions are 4.5

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=√((x_2-x_1)^2+(y_2-y_1)^2)`

now, we can plug values

`D=√((5-1)^2+(4-2)^2)`

`D=√(20)`

`D=4.5`