The baseball diamond is in the shape of a square with each side being 90 feet. if the catcher at home plate throws out a runner at second base, how far does he need to throw the ball?

Adam drew two same size rectangles and divided them into the same number of equal parts. he shaded 1/3 of one rectangle and 1/4 of the other rectangle. what is the least number of parts into which both rectangles could be divided into?

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.