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Slope
y = mx + b
Circle
(x-h)² + (y-k)² = r²
Percent Change
(New-Old / Old) x 100
Discriminants
b² -4ac > 0 = 2 real solutions
b² -4ac = 0 = one solution
b² -4ac < 0 = 2 nonreal solutions
Vertex Form
y = a(x-h)² + k
Sum/Product of roots
-b/a = sum
c/a = product
Distance Formula
d = ( (x2 - x1) + (y2 - y1) )^1/2
Midpoint Formula
(x1 + x2 / 2) , (y1 + y2 /2)
Sin/Cos of Complementary Angles
sin(x°) = cos(90° - x°)
sin(θ°) = cos(pi/2 - θ°)
Exponential Growth/Decay
A = P(1 ± r)^t
P = initial amount
R = g/d rate in decimal
t = time interval
Degrees/Radians
d = r x 180/pi
r = d x pi/180
Arc Length
s = rx
s=arc
r=radius
x=central angle