First things first. With this small and simple tar command we archive all our /var/www/ data.
tar -zcvf archive.tar.gz /var/www
Now we dump the MySQL database with the next command.
mysqldump -u root -p databasename > /root/backupname.sql
You will be asked to write the password for the database user (in this case root).
scp archive.tar.gz root@destinationserver:/root scp /root/backupname.sql root@destinationserver:/root
Again you will be asked twice for the password of the remote server but all your sensitive data will be saved there.
Again this is a very simple and just a small demonstration of what you can do with tar, scp and ssh.