Leak in elementary school sink

[MaintenanceMan]

So I have a leak that’s coming from the 2 fittings with arrows. I don’t know what those fixtures are called to research repair information or if it needs to be replaced. Can anyone help me out? I know the left is for the hose nozzle and the right is for the faucet.

 

[ShaunCorbs]

Right arrow is the either hot or cold supply pipe eg flexible connection easy enough to replace

the left connector is your feed to the spigot / spout