To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

4c(c - z)
4(1)(1 - 9)
4(1)(-8)
(4)(-8)
-32

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.

(6a)(8ab) + (5a²)(6b)
(6 x 8)(a x a x b) + (5 x 6)(a² x b)
(48)(a¹⁺¹ x b) + (30)(a²b)
48a²b + 30a²b
78a²b

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.

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(2 + 6)(5)
a = ½(8)(5)
a = ½(40) = \( \frac{40}{2} \)
a = 20

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

c² = a² + b²
c² = 8² + 6²
c² = 64 + 36
c² = 100
c = \( \sqrt{100} \)
c = 10