To solve this equation, 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.)

9a(a - y)
9(-6)(-6 - 6)
9(-6)(-12)
(-54)(-12)
648

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).

The volume of a cube is height x length x width:

v = h x l x w
v = 9 x 5 x 7
v = 315

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(6 + 6)(4)
a = ½(12)(4)
a = ½(48) = \( \frac{48}{2} \)
a = 24

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:

x² - 29 = -3x - 1
x² - 29 + 1 = -3x
x² + + 3x - 28 = 0
x² + 3x - 28 = 0

Next, factor the quadratic equation:

x² + 3x - 28 = 0
(x - 4)(x + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 4) or (x + 7) must equal zero:

If (x - 4) = 0, x must equal 4
If (x + 7) = 0, x must equal -7

So the solution is that x = 4 or -7