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

z² + 6z - 27 = 0
(z - 3)(z + 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z + 9) must equal zero:

If (z - 3) = 0, z must equal 3
If (z + 9) = 0, z must equal -9

So the solution is that z = 3 or -9

For parallel lines with a transversal, the following relationships apply:

• angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
• alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
• all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
• same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 20, the value of c° is 20.

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.

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.

9a + 3a = 12a

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, 3) so the slope becomes: