A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s²).

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

9c + 2y = -5c - 8y + 4
9c = -5c - 8y + 4 - 2y
9c + 5c = -8y + 4 - 2y
14c = -10y + 4
c = \( \frac{-10y + 4}{14} \)
c = \( \frac{-10y}{14} \) + \( \frac{4}{14} \)
c = -\(\frac{5}{7}\)y + \(\frac{2}{7}\)

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.

(4a)(2ab) + (6a²)(3b)
(4 x 2)(a x a x b) + (6 x 3)(a² x b)
(8)(a¹⁺¹ x b) + (18)(a²b)
8a²b + 18a²b
26a²b

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 - 8b - 3 = -3b + 3
b² - 8b - 3 - 3 = -3b
b² - 8b + 3b - 6 = 0
b² - 5b - 6 = 0

Next, factor the quadratic equation:

b² - 5b - 6 = 0
(b + 1)(b - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 6) must equal zero:

If (b + 1) = 0, b must equal -1
If (b - 6) = 0, b must equal 6

So the solution is that b = -1 or 6