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 equal sign and the answer on the other.

-4z + 5 = 4 - 9z
-4z = 4 - 9z - 5
-4z + 9z = 4 - 5
5z = -1
z = \( \frac{-1}{5} \)
z = -\(\frac{1}{5}\)

The volume of a cube is height x length x width:

v = h x l x w
v = 4 x 7 x 2
v = 56

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

c² - 15c + 56 = 0
(c - 7)(c - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 7) or (c - 8) must equal zero:

If (c - 7) = 0, c must equal 7
If (c - 8) = 0, c must equal 8

So the solution is that c = 7 or 8

A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

The formula for area is πr²:

a = πr²
a = π(4²)
a = 16π