You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(5²) + 2π(5 x 6)
sa = 2π(25) + 2π(30)
sa = (2 x 25)π + (2 x 30)π
sa = 50π + 60π
sa = 110π

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.)

-6b(b - x)
-6(8)(8 - 4)
-6(8)(4)
(-48)(4)
-192

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).

You need to find the value of b so solve the first equation in terms of z:

5b + z = -8
z = -8 - 5b

then substitute the result (-8 - 5b) into the second equation:

-5b - 5(-8 - 5b) = 8
-5b + (-5 x -8) + (-5 x -5b) = 8
-5b + 40 + 25b = 8
-5b + 25b = 8 - 40
20b = -32
b = \( \frac{-32}{20} \)
b = -1\(\frac{3}{5}\)