formulas Flashcards
(38 cards)
1
Q
slope formula
A
m = (y1 - y2)/(x1 - x2)
2
Q
standard form
A
ax + by = c
3
Q
vertex
A
-b/2a (for quadratics)
4
Q
circle graph equation
A
(x - h)^2 + (y - k)^2 = r^2
5
Q
ellipse graph equation
A
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
6
Q
discriminant
A
b^2 - 4ac, >0 = 2 solutions, =0 = 1 solution, <0 = 2 imaginary solutions/no real solution
7
Q
distance formula
A
√(x1 - x2)^2 + (y1 - y2)^2
8
Q
kite area
A
1/2 lw
9
Q
square area
A
s^2
10
Q
rectangle area
A
lw
11
Q
diameter
A
2r
12
Q
volume of rectangular prism
A
lwh
13
Q
volume of cylinder
A
πr^2h
14
Q
triangle area
A
1/2bh
15
Q
circle area
A
πr^2
16
Q
circumference
A
πd or 2πr
17
Q
parallelogram area
A
bh
18
Q
trapezoid area
A
1/2h(b1 + b2)
19
Q
surface area of cylinder
A
2πr^2 + 2πrh
20
Q
surface area of sphere
A
4πr^2
21
Q
volume of sphere
A
4πr^3/3
22
Q
volume of cube
A
s^3
23
Q
sum of angles in n-sided polygon
A
180(n - 2)
24
Q
angle measure of each angle in n-sided polygon
A
180(n - 2)/n
25
45 45 90 triangle
x, x, x√2
26
30 60 90 triangle
x, 2x, x√3
27
determinants
this is supposed to be a matrix but it looks weird ok [ab ] = ad - bc
[cd ]
28
qualifications for matrices to be multipled
number of columns of first matrix must be the same as number of rows of second one
29
qualifications for matrices to be added/subtracted
must have the same dimensions
30
i^2
-1
31
i^3
-i
32
i^4
1
33
arithmetic sequences
- common difference
- terms are added/subtracted to get to next term
34
geometric sequences
- common ratio
- terms are multiplied/divided to get to next term
35
union
collection of elements in 2 or more sets
36
intersection
collection of elements that are shared by 2 or more sets
37
null set
empty set, set without elements
38
