Answer: The distance between the ring and the coin = 15 units.
Step-by-step explanation:
Distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Location of rine = (-2,-6)
Location of the coin = (7,6)
Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]
[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]
Hence, the distance between the ring and the coin = 15 units.