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).

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

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:

b² - 12b + 14 = -5b + 4
b² - 12b + 14 - 4 = -5b
b² - 12b + 5b + 10 = 0
b² - 7b + 10 = 0

Next, factor the quadratic equation:

b² - 7b + 10 = 0
(b - 2)(b - 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 2) or (b - 5) must equal zero:

If (b - 2) = 0, b must equal 2
If (b - 5) = 0, b must equal 5

So the solution is that b = 2 or 5

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 3)(y + 3)
(y x y) + (y x 3) + (3 x y) + (3 x 3)
y² + 3y + 3y + 9
y² + 6y + 9

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 7² + 9²
c² = 49 + 81
c² = 130
c = \( \sqrt{130} \)