some formulas that are not directly given that may or may not help

by 974 Oct 6 2018 updated Oct 6 2018

i oofed on the other one

Slope Formula:
$~$\frac {(y_2-y_1)}{(x_2-x_1)}$~$= $~$\frac{\Delta y}{\Delta x}=\frac {rise}{run}$~$

Equation of a Line:

Midpoint Formula:
($~$\frac {(x_1+x_2)}{2}$~$, $~$\frac {(y_1+y_2)}{2}$~$)

Distance Formula:
$~$\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}$~$

Length of an Arc:
$~$L_{arc}=(2πr)(\frac {xº}{360})$~$

Area of an Arc Sector:
$~$L_{arc sector}=(πr^2)(\frac {xº}{360})$~$

Quadratic Formula:
$~$x=\frac {-b \pm \sqrt {b^2-4ac}}{2a}$~$

Completing the Square:
$~$ax^2+bx=0 \rightarrow a(x+d)^2+e=0$~$

$~$sin(x)=\frac {o}{h}$~$
$~$cos(x)=\frac {a}{h}$~$

Arithmetic Sequences:
$~$t_1, t_1+d, t_1+2d, …$~$

Geometric Sequences:
$~$t_1, t_1\cdot r, t_1\cdot r^2,…$~$

Exponent Rules:
$~$\frac {x^a}{x^b}=x^{a-b}$~$
$~$\sqrt{xy}=\sqrt{x} \cdot {\sqrt{y}}$~$
$~$x^{-b}=\frac {1}{x^b}$~$


Difference of Squares:


Pythagorean Theorem: