A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

8a + 5a = 13a

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 14y + 33 = 2y + 1
y² + 14y + 33 - 1 = 2y
y² + 14y - 2y + 32 = 0
y² + 12y + 32 = 0

Next, factor the quadratic equation:

y² + 12y + 32 = 0
(y + 4)(y + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y + 8) must equal zero:

If (y + 4) = 0, y must equal -4
If (y + 8) = 0, y must equal -8

So the solution is that y = -4 or -8

The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 9)
v = 9π