x = (-b ± √(b² - 4ac) / (2a)
quadratic equation
A = πr²
circle area
C = 2πr
circle circumference
y = a(x - h)^2 + k
vertex form
short leg: x
second leg: x√3
hypotenuse: 2x
30-60-90 triangle
you flip the sign >< when
you divide by negative # in inequality: -3x/-3 < 6/-3
x>-2
(x - h)^2 + (y - k)^2 = r^2
circle equation
short leg: x
second leg:x
hupotenuse: x√2
45-45-90
(y2 - y1) / (x2 - x1)
slope formula
θ/360 * π * d
arc length
(a+b)^2
(a+b)(a+b)
3 equal sides
all angles = 60
equilaterial
midpoint formula
(x₁ + x₂)/2, (y₁ + y₂)/2
pythagorean theorem
a^2+b^2=c^2
area of rectangle
A = LW
area of triangle
A = 1/2(B)(H)
volume of rectangle solid
V=LWH
volume of cylinder
V= πr^2(H)
volume of sphere
V=(4/3)πr^3
volume of cone
V=(1/3)πr^2
volume of pyramid
V=(1/3)LWH
degrees in circle
360
radians in a circle
2π
degrees in triangle
180
√((x₂ - x₁)² + (y₂ - y₁)²)
distance formula
A = (θ/360) * π * r²
arc sector
Sum of all values / Number of values
average/mean
S=D/T
average speed
(Number of favorable outcomes) / (Total number of possible outcomes)
probablities
Find x percent of a given number n.
n(x/100)
Find out what percent a number n is of another number m.
(n100)/m
Find out what number n is x percent of.
(n100)/x