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).

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.)

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.

5b - 6 = \( \frac{b}{-8} \)
-8 x (5b - 6) = b
(-8 x 5b) + (-8 x -6) = b
-40b + 48 = b
-40b + 48 - b = 0
-40b - b = -48
-41b = -48
b = \( \frac{-48}{-41} \)
b = 1\(\frac{7}{41}\)

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.

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:

z² - 9z - 36 = -5z - 4
z² - 9z - 36 + 4 = -5z
z² - 9z + 5z - 32 = 0
z² - 4z - 32 = 0

Next, factor the quadratic equation:

z² - 4z - 32 = 0
(z + 4)(z - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 4) or (z - 8) must equal zero:

If (z + 4) = 0, z must equal -4
If (z - 8) = 0, z must equal 8

So the solution is that z = -4 or 8