The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15

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.

-6a - 8 = -5 - 4a
-6a = -5 - 4a + 8
-6a + 4a = -5 + 8
-2a = 3
a = \( \frac{3}{-2} \)
a = -1\(\frac{1}{2}\)

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

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)

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.