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 -27 as well and sum (Inside, Outside) to equal -6. For this problem, those two numbers are -9 and 3. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 6y - 27
y² + (-9 + 3)y + (-9 x 3)
(y - 9)(y + 3)

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, 3) so the slope becomes:

Plugging these values into the slope-intercept equation:

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

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-6b - 2z = 2b - 6z - 9
-6b = 2b - 6z - 9 + 2z
-6b - 2b = -6z - 9 + 2z
-8b = -4z - 9
b = \( \frac{-4z - 9}{-8} \)
b = \( \frac{-4z}{-8} \) + \( \frac{-9}{-8} \)
b = \(\frac{1}{2}\)z + 1\(\frac{1}{8}\)

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 9cm + 5cm + 7cm = 21cm

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.