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

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.

7x + 3 > \( \frac{x}{9} \)
9 x (7x + 3) > x
(9 x 7x) + (9 x 3) > x
63x + 27 > x
63x + 27 - x > 0
63x - x > -27
62x > -27
x > \( \frac{-27}{62} \)
x > -\(\frac{27}{62}\)

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.

(7a)(9ab) + (6a²)(5b)
(7 x 9)(a x a x b) + (6 x 5)(a² x b)
(63)(a¹⁺¹ x b) + (30)(a²b)
63a²b + 30a²b
93a²b

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).