Miley Cyrus and Liam Hemsworth are officially single.Court records show that a Los Angeles judge on Tuesday finalized the divorce that ended the brief marriage of the 27-year-old American pop star and the 30-year-old Australian actor.The couple separated and Hemsworth filed for divorce in August, about eight months after he and Cyrus married.Hemsworth and Cyrus have no children, and neither sought spousal support.