Formulas Flashcards
(27 cards)
m=y2-y1/x2-x1
slope
y=mx+b
slope-intercept form
Ax+By=C
standard form
y-y1=m(x-x1)
point slope form
a^2-b^2=(a+b)(a-b)
difference of squares
a^3+b^3=(a+b)(a^2-ab+b^2)
sum of cubes
a^3-b^3=(a-b)(a^2+ab+b^2)
difference of cubes
(a+b)^2=a^2-2ab+b^2
square of binomial
(a-b)^2=a^2-2ab+b^2
square of binomial
d=(square root) (x2-x1)^2+(y2-y1)^2
distance formula
(x1+x2/2,y1+y2/2)
midpoint
(x-h)^2+(y-k)^2=r^2
equation of a circle
x=-b+/-(square root)b^2-4ac/2a
quadratic formula
I=Prt
base formula
A=P+Prt
interest formula
a^2+b^2=c^2
Pythagorean theorem
f(x+h)-f(x)/h
difference quotient
d=rt
distance problem formula
f(x)=a(x-h)^2+k
quadratic function
(-b/2a,f(-b/2a))
coordinate of the vertex
a^ma^n=a^m+n
product law of exponents
a^m/a^n=a^m-n
quotient law of exponents
(a^m)^n=a^mxn
power law of exponents
(ab)^m=a^mb^m
power of product rule
