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).

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

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 < sign and the answer on the other.

-3c + 3 < 6 - 5c
-3c < 6 - 5c - 3
-3c + 5c < 6 - 3
2c < 3
c < \( \frac{3}{2} \)
c < 1\(\frac{1}{2}\)

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 - 4y - 22 = -2y + 2
y² - 4y - 22 - 2 = -2y
y² - 4y + 2y - 24 = 0
y² - 2y - 24 = 0

Next, factor the quadratic equation:

y² - 2y - 24 = 0
(y + 4)(y - 6) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 4) or (y - 6) must equal zero:

If (y + 4) = 0, y must equal -4
If (y - 6) = 0, y must equal 6

So the solution is that y = -4 or 6

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.)

-9c(c - y)
-9(-1)(-1 - 8)
-9(-1)(-9)
(9)(-9)
-81