Point slope - line formula
(y - y1) = m(x - x1)
Slope intercept - line formula
y = mx + b
A normal line
The line perpendicular to the tangent line at the same point.
Distance formula
d = √[(x2 - x1)2 + (y2 - y1)2]
Quadratic formula
x = [-b ± √(b2 - 4ac)] /2a
Speed = ?
Distance = ?
Time = ?
= Distance/Time
= Speed•Time
= Distance/Speed
Completing the square
ax2 + bx + c = 0 ⇒
⇒ a(x+d)2 + e = 0
d = b/2a
e = c - b2/4a
a3 + b3
Sum of cubes
(a + b)•(a2 – ab + b2)
a3 – b3 =
Difference of cubes
(a – b)•(a2 + ab + b2)