Formulas Flashcards
(59 cards)
1
Q
Formula: area of a triangle
A
A = 1/2 (base)(height)
2
Q
What is the Pythagorean Theorem?
A
a2 + b2 = c2
3
Q
How to calculate slope?
A
y2 – y1 / x2 – x1
4
Q
Special Right Triangle
45-45-90
A
45-45-90
X : X : X √2
5
Q
Special Right Triangle
30-60-90
A
30-60-90
X : X √3 : 2X
6
Q
Sum of all internal angles in any polygon?
A
180 (n – 2)
n is the number of sides
7
Q
One interior angle in a regular polygon
A
180 (n – 2) / n
n is the number of sides
8
Q
Area of a circle
A
A = πr2
9
Q
Circumference of a circle
A
C = 2 πr
10
Q
Area of a trapezoid
A
A = (a + b)/2 * h
11
Q
Even + Even
A
Even
12
Q
Odd + Odd
A
Odd
13
Q
Even + Odd
A
Odd
14
Q
Even * Even
A
Even
15
Q
Odd * Odd
A
Odd
16
Q
Even * Odd
A
Even
17
Q
Xm * Xn
A
Xm+n
18
Q
Xm / Xn
A
Xm-n
19
Q
(Xm)n
A
Xm*n
20
Q
(X * Y)m
A
Xm * Ym
21
Q
(X / Y)m
A
Xm / Ym
22
Q
X0
A
1
23
Q
X-n
A
1/Xn
24
Q
√a * √b
A
√(a*b)
25
√a / √b
√(a/b)
26
What is the distance formula?
D = rate * time
27
√2
≈1.41
28
√3
≈ 1.7
29
√10
≈ 3.1
30
Simple interest formula
Value = principal (1 + rate*years)
31
Compound interest formula
Value = principal (1 + rate)time
32
Positive parabola
y = ax2 + bx + c
33
Negative parabola
y = -ax2 + bx + c
*a is negative*
34
Circle formula
(x–a)2 + (y–b)2 = r2
*Center is (a,b), radius > 0*
35
Absolute value formula
f(x) = |x|
Adding or subtracting numbers shifts the function up or down the x-axis
36
h(x) + c
Graph of h(x) is shifted upwards by c units
37
h(x) + c
Graph of h(x) is shifted upwards by c units
38
h(x) – c
Graph of h(x) is shifted downwards by c units
39
h(x + c)
Graph of h(x) is shifted left by c units
40
h(x – c)
Graph of h(x) is shifted right by c units
41
c*h(x) if c>1
Graph of h(c) is stretched vertically by factor of c
42
c*h(x) if 0
Graph of h(x) is shrunk vertically by factor of c
43
Real numbers (definition)
All rational and irrational numbers
Ex. 3, 0, 1.5, 3/2, √5
Everything except complex numbers
44
Xa = Xb
a = b
45
Negative number raised to even power
-52
Always positive
46
Negative number raised to odd power
-55
Always negative
47
How much of the data is within 2 standard deviations of the mean for a normal distribution?
95%
48
How much of the data is within 1 standard deviation of the mean for a normal distribution?
68%
49
Prime number (definition)
A number that is only divisible by 1 and itself
50
First 10 prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
51
Sum of arithmetic series
S = n/2 {2a + (n–1)d}
a = first term
d = common difference
n = number of terms
52
Parallel slopes are
Equal to each other
53
Perpendicular slopes are
Opposite reciprocals
5 -> -1/5
54
Volume of a cube
V = s3
55
Area of a cube
A = 6s2
56
Volume of a cylinder
V = π*r2 *h
57
Surface area of a cylinder
2 π r2 + 2 πrh
58
Finding the midpoint
((X1 ,X2)/2) , ((Y1 ,Y2)/2)
59
Mode
The number that appears most often in a set of values
