The volume of a cylinder is πr²h:

v = πr²h
v = π(6² x 7)
v = 252π

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.

(9a)(8ab) - (9a²)(6b)
(9 x 8)(a x a x b) - (9 x 6)(a² x b)
(72)(a¹⁺¹ x b) - (54)(a²b)
72a²b - 54a²b
18a²b

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -3) and (2, 5) so the slope becomes:

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 equal sign and the answer on the other.

4y - 7 = \( \frac{y}{5} \)
5 x (4y - 7) = y
(5 x 4y) + (5 x -7) = y
20y - 35 = y
20y - 35 - y = 0
20y - y = 35
19y = 35
y = \( \frac{35}{19} \)
y = 1\(\frac{16}{19}\)

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -48 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -6 and 8. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 2y - 48
y² + (-6 + 8)y + (-6 x 8)
(y - 6)(y + 8)