Question

Nicholas uses a coordinate system with units of feet to keep track of any items he finds with his metal detector. One day he found a ring at (-2, -6) and a coin at (7, 6). How far apart were the ring and the coin?​

Answer 1

Answer: The distance between the ring and the coin = 15 units.

Explanation:

Distance between two points (a,b) and (c,d) is given by :-

`D=√((c-a)^2+(d-b)^2)`

Location of rine = (-2,-6)

Location of the coin = (7,6)

Then, the distance between the ring and the coin
`=√((6-(-6))^2+(7-(-2))^2)`

`=√((12)^2+(9)^2)\\\\=√(144+81)\\\\=√(225)=15`

Hence, the distance between the ring and the coin = 15 units.