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 monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a⁸ + 2a⁸ = 4a⁸

You need to find the value of a so solve the first equation in terms of x:

-6a + x = -1
x = -1 + 6a

then substitute the result (-1 - -6a) into the second equation:

-7a + 5(-1 + 6a) = -4
-7a + (5 x -1) + (5 x 6a) = -4
-7a - 5 + 30a = -4
-7a + 30a = -4 + 5
23a = 1
a = \( \frac{1}{23} \)
a = \(\frac{1}{23}\)

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).