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.

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.

6a x 8b = (6 x 8) (a x b) = 48ab

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x² - 5x - 15 = -2x + 3
x² - 5x - 15 - 3 = -2x
x² - 5x + 2x - 18 = 0
x² - 3x - 18 = 0

Next, factor the quadratic equation:

x² - 3x - 18 = 0
(x + 3)(x - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x - 6) must equal zero:

If (x + 3) = 0, x must equal -3
If (x - 6) = 0, x must equal 6

So the solution is that x = -3 or 6

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