# Tutor profile: Eric C.

## Questions

### Subject: Geometry

How many faces, edges and vertices are found in a cube?

If you observe a cube, you will find 6 faces, 8 vertices, and 12 edges. It can be tricky, trying to count these qualities of any three dimensional shape; I suggest drawing the shape, and marking them as you count.

### Subject: Algebra

Combine the following terms to simplify the expression: -10x + (-5x)

-15x. -10(x) + -5(x) Adding a negative is the same as subtracting: -10(x) - 5(x) Starting at negative ten and subtracting five more results in -15x. Like terms can be combined by adding or subtracting their coefficients. In this case, we added a negative coefficient [5] from another negative coefficient, [10].

### Subject: Physics

What is Newton's third law of motion?

For every action, there is an equal, but opposite reaction. If I were to inflate a balloon, then let it go, the force of the air blowing out causes the balloon to propel forward. The force of releasing air is - in a perfect world, closed-system scenario - equal, and opposite the direction of the force moving the balloon.

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