Headlight bulb popped out, fell on some hoses, need help identifying burnt hoses

[Flooder305]

So the wife came in last night and declared a headlight was out on my '05 V6 Limited. I investigated and found the right side bulb was still connected to the lead, but had popped out of the housing somehow (didn't think that was possible, but here we are). Problem is it had obviously lain on the couple hoses down below and burnt a hole in them. I don't know what they are, but they proceed back through the firewall on the right side of the engine bay (left as you're looking at it from the front looking aft), so I'm thinking vacuum lines for the a/c or something along those lines. Is there anyone who can help me identify where my next problem is coming from? Thanks!

 

[Flooder305]

Pics or it didn't happen

 

[Flooder305]

Closing the loop

I wanted to close the loop on this thread for anyone else wondering what those hoses are. It turns out they are the windshield washer fluid hoses that run from the reservoir to the spray heads on the hood. I was able to purchase a generic splice connector kit from Oreilly Auto parts that is made by Dorman that rejoined the 2 hose pieces. System is back up and spraying once again.