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).

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.

2a⁷ + 5a⁷ = 7a⁷

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

-3a + y = 5
y = 5 + 3a

then substitute the result (5 - -3a) into the second equation:

-3a - 9(5 + 3a) = 5
-3a + (-9 x 5) + (-9 x 3a) = 5
-3a - 45 - 27a = 5
-3a - 27a = 5 + 45
-30a = 50
a = \( \frac{50}{-30} \)
a = -1\(\frac{2}{3}\)

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.

6x - 8 = 6 - 9x
6x = 6 - 9x + 8
6x + 9x = 6 + 8
15x = 14
x = \( \frac{14}{15} \)
x = \(\frac{14}{15}\)

The formula for area is πr². Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr²
a = π(4²)
a = 16π