# Equations Guide

In order to better present mathematical equations, Flashcard Machine provides a tool that allows the user to write LaTeX code. We have provided examples and common equations below to help you get started. For a complete list of supported commands, click the All Commands tab.

You can create equations using LaTeX code by clicking on the Equations tab on the My Flashcards screen or by clicking the function icon within the Quick Editor. Enter your code in the LaTeX code field and click Show Equation to see the visual representation of the equation

 Equation LaTeX Code Output Area(A) of Square A = s^2 Area(A) of Rectangle A = lw Area(A) of Parallelogram A = bh Area(A) of Triangle A = ^1/_2bh Area(A) of Circle A = \pi r^2 Area(A) of Trapezoid A = ^1/_2(b1+b2)h Area(A) of Sphere S = 4\pi r^2 Surfcace Area of Cube SA = 6s^2 Surfcace Area of Cylinder Lateral SA = 2\pi rh Perimeter of Square P = 4s Perimeter of Rectangle P = 2l+2w Perimeter of Triangle P = s1+s2+s3 Perimeter of Any Shape p = \pi d Volume of Cube V = S^3 Volume of Rectangular lwh Volume of Square Pyramid V = \frac{1}{3}(b)^2h Volume of Cylinder V = \pi r^2h Volume of Cone V = \frac{1}{3}\pi r^2h Volume of Sphere V = \frac{3}{4}\pi r^3 Volume of Right Circular Cylinder V = \pi r^2h Distance Between 2 Points d = \sqrt{(x2-x1)^2 + (y^2-y1)^2} Slope of Line m = \frac{y2-y}{x2-x1} Quadratic Equation ax^2+bx+c=0 Standard Equation of A Circle (x-h)^2+(y-k)^2 = r^2 Quadratic Formula x = \frac{-bpm \sqrt{b^2-4ac}}{2a} Point Slop Equation y-y_1 = m(x-x_1) Slop-Intercept Equation of a Line y = mx+b Pythagorean Theorem a^2+b^2=c^2 Product Rule a^n \times a^m = a^{n+m} Power Rule (a^n)^m = a^{nm} Quotient Rule \frac{a^n}{a^m} = a^{n-m} Negative Exponent a^{-n} = \frac{1}{a^n} tabular \begin{tabular}{ l c r } 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \\ \end{tabular} matrix \begin{matrix} x & y \\ z & v \end{matrix} matrix \begin{matrix} x & y \\ z & v \end{matrix} vmatrix \begin{vmatrix} x & y \\ z & v \end{vmatrix} Vmatrix \begin{Vmatrix} x & y \\ z & v \end{Vmatrix} bmatrix \begin{bmatrix} x & y \\ z & v \end{bmatrix} Bmatrix \begin{Bmatrix} x & y \\ z & v \end{Bmatrix} pmatrix \begin{matrix} x & y \\ z & v \end{pmatrix} smallmatrix \begin{smallmatrix} x & y \\ z & v \end{smallmatrix}
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