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, 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.

-6z + 2 < 3 + z
-6z < 3 + z - 2
-6z - z < 3 - 2
-7z < 1
z < \( \frac{1}{-7} \)
z < -\(\frac{1}{7}\)

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.

(2a)(5ab) + (5a²)(8b)
(2 x 5)(a x a x b) + (5 x 8)(a² x b)
(10)(a¹⁺¹ x b) + (40)(a²b)
10a²b + 40a²b
50a²b

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).

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD