Math Formulas Flashcards
slope of horizontal line
0
slope
+ up to the right
- up to the left
perpendicular: opposite reciprocal
parallel: same
slope of vertical line
undefined
standard form of slope
ax=by=c
m=-a/b
perimeter of a rectangle
2w+2l
area of a rectangle
lw
volume of a rectangle
lwh
mean
average, add up terms, divide by # of terms
median
order the terms, find the middle term
range
max-min
mode
most common term
X^a x X^b=
X^a=b
(X^a)^b
X^ab
x^a/ X^b
x^a-b
x^0
1
x^-a
1/x^a
(x)^a/b
b√x^a
area of a triangle
1/2bh
distance
d=rt
d=√(x2-x1)^2+(y2-y1)2
log form to exponent form
loga (b) = c
a^c=b
loga(b) + loga(c)=
loga (bc)
loga(b^c)=
c log a(b)
loga(b/c)
loga(b)-loga(c)
loga(1)
0
loga(a)
1
loga(a^c)
c
a^loga(c)
c
i
√-1
i^2
-1
area of a circle
A=πr^2
circumfrence of a circle
c=2πr
formula for a circle
(x-h)^2+(y-k)^2=r^2
volume of a cylinder
πr^2h
volume cone
1/3πr^2h
surface area of a cone
πr^2+πrs
s= slant height
matrices
multiplying: inner dimensions must match
adding: must have same dimensions
row x column
vertical asymptope
to find, set denominator = zero, solve for x
hole
if a factor cancels, it causes a hole, plug in x value to find y value
horitzontal asymptope
bottom heavy: y=0
top heavy: no HA
same: divide leading coefficents
slant asymptope
if the degree in numerator is one more than the denominator; use long division to find the slant asymptope
area of a parallelogram
A=bh
area of a trapezoid
A=1/2(b1+b2)h
domain
x values
range
y values
equation of a horizontal elipse
(x-h)^2/a^2 + (y-k)^2/b^2
a: horixontal distance from center
b: vertical distance from center
equation of a vertical elipse
(x-h)^2/b^2 + (y-k)^2/a^2=1
difference of cubes: a^3-b^3
(a-b)(a^2+ab+b^2)
sum of cubes: a^3+a^4
(a+b)(a^2-ab+b^2)
compound interest
A=P(a+r/n)^nt
discriminant
b^2-4ac
if its >0, 2 real solutions
x<0, no real solutions
x=o, 1 real solution
standard deviation
typical distance from the mean
rational numbers
can be a decimal: has to terminate or repeat
irrational numbers
non repeating and non-terminating decimals (ex π)
factorials
4!= 4x3x2x1
