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 factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -6 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -6 and 1. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 5y - 6
y² + (-6 + 1)y + (-6 x 1)
(y - 6)(y + 1)

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 multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(6a)(3ab) - (3a²)(2b)
(6 x 3)(a x a x b) - (3 x 2)(a² x b)
(18)(a¹⁺¹ x b) - (6)(a²b)
18a²b - 6a²b
12a²b

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

3b + 4z = 6b - 6z + 1
3b = 6b - 6z + 1 - 4z
3b - 6b = -6z + 1 - 4z
-3b = -10z + 1
b = \( \frac{-10z + 1}{-3} \)
b = \( \frac{-10z}{-3} \) + \( \frac{1}{-3} \)
b = 3\(\frac{1}{3}\)z - \(\frac{1}{3}\)