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 4 x 7
v = 252

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:

c² - 17c + 38 = -5c + 3
c² - 17c + 38 - 3 = -5c
c² - 17c + 5c + 35 = 0
c² - 12c + 35 = 0

Next, factor the quadratic equation:

c² - 12c + 35 = 0
(c - 5)(c - 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 5) or (c - 7) must equal zero:

If (c - 5) = 0, c must equal 5
If (c - 7) = 0, c must equal 7

So the solution is that c = 5 or 7

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(2ab) - (6a²)(4b)
(7 x 2)(a x a x b) - (6 x 4)(a² x b)
(14)(a¹⁺¹ x b) - (24)(a²b)
14a²b - 24a²b
-10a²b

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.

2z - 4 > 9 - 2z
2z > 9 - 2z + 4
2z + 2z > 9 + 4
4z > 13
z > \( \frac{13}{4} \)
z > 3\(\frac{1}{4}\)