The volume of a cylinder is πr²h:

v = πr²h
v = π(1² x 2)
v = 2π

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:

c² - 9c + 49 = 5c + 1
c² - 9c + 49 - 1 = 5c
c² - 9c - 5c + 48 = 0
c² - 14c + 48 = 0

Next, factor the quadratic equation:

c² - 14c + 48 = 0
(c - 6)(c - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 6) or (c - 8) must equal zero:

If (c - 6) = 0, c must equal 6
If (c - 8) = 0, c must equal 8

So the solution is that c = 6 or 8

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

8z + 6 > \( \frac{z}{9} \)
9 x (8z + 6) > z
(9 x 8z) + (9 x 6) > z
72z + 54 > z
72z + 54 - z > 0
72z - z > -54
71z > -54
z > \( \frac{-54}{71} \)
z > -\(\frac{54}{71}\)

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

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.