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

AD = AB + BD

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.

(8a)(9ab) - (2a²)(2b)
(8 x 9)(a x a x b) - (2 x 2)(a² x b)
(72)(a¹⁺¹ x b) - (4)(a²b)
72a²b - 4a²b
68a²b

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.)

5c(c - x)
5(-4)(-4 + 9)
5(-4)(5)
(-20)(5)
-100

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.

-z + 2 < \( \frac{z}{4} \)
4 x (-z + 2) < z
(4 x -z) + (4 x 2) < z
-4z + 8 < z
-4z + 8 - z < 0
-4z - z < -8
-5z < -8
z < \( \frac{-8}{-5} \)
z < 1\(\frac{3}{5}\)

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.