A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

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.

-8y - 2 < -5 + 4y
-8y < -5 + 4y + 2
-8y - 4y < -5 + 2
-12y < -3
y < \( \frac{-3}{-12} \)
y < \(\frac{1}{4}\)

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

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 -20 as well and sum (Inside, Outside) to equal -1. For this problem, those two numbers are -5 and 4. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - y - 20
y² + (-5 + 4)y + (-5 x 4)
(y - 5)(y + 4)

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

AD = AB + BD