a politically 'connected' businessman [=a businessman who has relationships with people who have political power]
In my mind, the two places 'are connected'. [=I think of the two places as being related to each other]
They 'are' somehow 'connected' to the royal family. [=they are related in some way to the royal family]
(..) Do you hear me? "Jack," Stay with me. "Jack." "Alex," you don't do something like this unless you bring it to me first. Vallon's connected. I'm warning you don't make any more moves until I vet this. If officers are supplying them guns. That's up to IAD. I'll handle it. Washington, DC (..)2014 RoboCop