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, \(c = \sqrt{a + b}\)

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:

y² + 8y + 16 = y + 4
y² + 8y + 16 - 4 = y
y² + 8y - y + 12 = 0
y² + 7y + 12 = 0

Next, factor the quadratic equation:

y² + 7y + 12 = 0
(y + 3)(y + 4) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 4) must equal zero:

If (y + 3) = 0, y must equal -3
If (y + 4) = 0, y must equal -4

So the solution is that y = -3 or -4

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 equal sign and the answer on the other.

8b + 5 = 4 + 4b
8b = 4 + 4b - 5
8b - 4b = 4 - 5
4b = -1
b = \( \frac{-1}{4} \)
b = -\(\frac{1}{4}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).