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 24 as well and sum (Inside, Outside) to equal 10. For this problem, those two numbers are 4 and 6. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² + 10y + 24
y² + (4 + 6)y + (4 x 6)
(y + 4)(y + 6)

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, 3) and (2, -3) so the slope becomes:

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x + 0

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.

(5a)(3ab) - (3a²)(9b)
(5 x 3)(a x a x b) - (3 x 9)(a² x b)
(15)(a¹⁺¹ x b) - (27)(a²b)
15a²b - 27a²b
-12a²b

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.

-5c - 2 = -3 - 6c
-5c = -3 - 6c + 2
-5c + 6c = -3 + 2
c = -1