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Math Final Algebra 4 (Poway)
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Gravity
Terms in this set (55)
distance formula
midpoint formula
parabola
set of all points in a plane that are the same distance from a given point called the focus and a given line called the directrix
parabola equations
parabola equations 2
parabola axis of symetry
x=h y=k
focus of a parabola
(h,k + 1/4a) (h+1/4a,k)
directrix of a parabola
y=k-1/4a x=h-1/4a
direction of opening
upward if a is greater than zero downward if a is less than zero. right if a is positive left if a is negative
latus rectum
1/a units
parabola with labels
circle with labels
formula for circle with a center at (h,k)
ellipse with labels
definition of a elipse
a elipse is the set of all points in a plane such that the sum of the distances to the foci is constant
equation of ellipse
equation of an elipse 2
foci of elipse
-c,0 c,0 or 0,-c or 0,c
def of hyperbola
hyperbola is a set of all points in a plane such that the absolute value of the difference of the distances from any point on the hyperbola to two given points called the foci is constant
hyperbola
equation of hyperbola 1
horizontal
equation of a hyperbola 2
vertical
asymptotes of a hyperbola
y= +or - b/a x or y = +- a/bx
pythagorean therom
multiplying rational expressions
factor, identify restricted values, reduce common factors
restricted value
any value or values that make the denominator of the original expression equal to zero
dividing rational expressions
factor expressions, identify restricted values, change to multiplication( multiply the reciprocal by the divisor), reduce common factors
add or subtract rational expressions
factor all the numerators and denominators, determine LCM, create equivalent fractions with the common denominator, add/subtract fractions, simplify/reduce
definition of a exponential function
def of log function
p= logbN p is the exponent N is the number and b is the base
product property of logs
quotient property of logs
power property of logs
log key
finds the common log
10x key
finds the antilog
ln key
finds natural log
ex key
finds the antilog of natural log
change of base formula
formula for growth and decay
y=ne^kt
formula for growth and decay used for money
Vn= p(1+-r)^n
formula for growth and decay used for interest
a=pe^rt
fundamental counting principle
ex 7! is 7times6 times 5...
probability trees
diagram showing probablity
independent probability
one choice does not effect others
dependent probability
the outcome does effect an event
permutation
order matters
combination
order does not matter
linear permutations formula
nPr= n!/(n-r)!
permutations with repetition formula
n!/ p!q!
circular permutations
n!/n or (n-1)!
Npr on calculator
permutations
c(n,r)
combinations
!
factorials
definition of natural number
a positive number greater than 0
formula for completing the square
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