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 + 6)(y + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y² + 2y + 6y + 12
y² + 8y + 12

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s²

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{1} \) = 1

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c² = a² + b²
c² = 1² + 1²
c² = 2
c = \( \sqrt{2} \)

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

c² = a² + b²
c² = 5² + 1²
c² = 25 + 1
c² = 26
c = \( \sqrt{26} \)

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.

-4b - 5 < \( \frac{b}{-5} \)
-5 x (-4b - 5) < b
(-5 x -4b) + (-5 x -5) < b
20b + 25 < b
20b + 25 - b < 0
20b - b < -25
19b < -25
b < \( \frac{-25}{19} \)
b < -1\(\frac{6}{19}\)