The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 12cm + 14cm + 5cm = 31cm

To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.

5c + 2z = -2c - 3z - 7
5c = -2c - 3z - 7 - 2z
5c + 2c = -3z - 7 - 2z
7c = -5z - 7
c = \( \frac{-5z - 7}{7} \)
c = \( \frac{-5z}{7} \) + \( \frac{-7}{7} \)
c = -\(\frac{5}{7}\)z - 1

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.)

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.