Wednesday, September 15, 2010
Algebraic Formulas
(a+b)2 = a2 + 2ab + b2
(a-b) 2 = a2 – 2ab + b2
(a+b)(a-b) = a2-b2

Linear Graphs
y = mx + c
m = (y^2-y^1)/(x^2-x^1 )
c = y intercept

Pythagoras Theorem
a^2+b^2=c^2

APPLIES TO RIGHT ANGLED TRIANGLES

Quadratic Curves
y = ax2 + bx + c
c = y intercept

When a is +(positive), curve will be 
When a is – (negative), curve will be 

Mensuration
Volume of Pyramid : ⅓ x Base area x Perpendicular Height
Surface area of Pyramid : Sum of all the sides of a pyramid.
Volume of Cone : ⅓ x Base area x Perpendicular Height
Surface area of Cone: π x r x Slant height + πr²( base, If needed
Volume Of Sphere : ⁴⁄₃ x π x r³
Surface area of Sphere : 4 x π x r²
Volume Of Hemisphere : ²⁄₃ x π x r³
Surface are of Hemisphere : 2 x π x r² + πr² ( base , if needed. )
Volume of Cylinder : π x r² x h
Surface area of Cylinder : π x 2r x h

Trigonometry
sin ℓ = opposite/hypotenuse
cos ℓ = adjacent/hypotenuse
tangent = opposite/adjacent

Opposite – The line that is opposite of the angle, perpendicular to the Adjacent line.
Adjacent – The line that contains the 2 angles, the right angle and the given angle, perpendicular to the Opposite line.
Hypotenuse – The slanted line.

Indices
If m and n are intergers.
Where a
a^(m )× a^n = a^(m+n )
a^(m )÷ a^(n ) = a^(m-n)
〖(a^m )n = amn
am × bm= (a × b)m
am ÷ bm = ( a/b )m
a0 = 1

Try to decipher it.