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

sa = 2πr² + 2πrh
sa = 2π(5²) + 2π(5 x 5)
sa = 2π(25) + 2π(25)
sa = (2 x 25)π + (2 x 25)π
sa = 50π + 50π
sa = 100π

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.

-4a + 6 = \( \frac{a}{6} \)
6 x (-4a + 6) = a
(6 x -4a) + (6 x 6) = a
-24a + 36 = a
-24a + 36 - a = 0
-24a - a = -36
-25a = -36
a = \( \frac{-36}{-25} \)
a = 1\(\frac{11}{25}\)

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².

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 0. 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, 2) and (2, -2) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -x + 0

The formula for area is πr²:

a = πr²
a = π(3²)
a = 9π