Meanings
To connect an electric device into something using a plug.
Example: "I spent ages trying to fix my computer, before realizing that it wasn't plugged into the wall."
To join something in the manner of a plug.
To become aware of or knowledgeable about.
To replace a variable with a number in order to solve an equation.
Example: "If you know two sides of a right triangle, you can find the third by plugging them into the Pythagorean Theorem."