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

sa = 2πr² + 2πrh
sa = 2π(6²) + 2π(6 x 8)
sa = 2π(36) + 2π(48)
sa = (2 x 36)π + (2 x 48)π
sa = 72π + 96π
sa = 168π

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.

(7a)(3ab) + (3a²)(6b)
(7 x 3)(a x a x b) + (3 x 6)(a² x b)
(21)(a¹⁺¹ x b) + (18)(a²b)
21a²b + 18a²b
39a²b

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.

8a - 5 = -4 - 6a
8a = -4 - 6a + 5
8a + 6a = -4 + 5
14a = 1
a = \( \frac{1}{14} \)
a = \(\frac{1}{14}\)

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 slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. 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, -1) and (2, 5) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = 1\(\frac{1}{2}\)x + 2