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

a = ½bh
a = ½ x 5 x 1 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(8 + 6)(2)
a = ½(14)(2)
a = ½(28) = \( \frac{28}{2} \)
a = 14

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

y² + 9y + 3 = y - 4
y² + 9y + 3 + 4 = y
y² + 9y - y + 7 = 0
y² + 8y + 7 = 0

Next, factor the quadratic equation:

y² + 8y + 7 = 0
(y + 1)(y + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 1) or (y + 7) must equal zero:

If (y + 1) = 0, y must equal -1
If (y + 7) = 0, y must equal -7

So the solution is that y = -1 or -7

When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

The volume of a cylinder is πr²h:

v = πr²h
v = π(9² x 8)
v = 648π