Algebra Flashcards
1
Q
Point slope - line formula
A
(y - y1) = m(x - x1)
2
Q
Slope intercept - line formula
A
y = mx + b
3
Q
A normal line
A
The line perpendicular to the tangent line at the same point.
4
Q
Distance formula
A
d = √[(x2 - x1)2 + (y2 - y1)2]
5
Q
Quadratic formula
A
x = [-b ± √(b2 - 4ac)] /2a
6
Q
Speed = ?
Distance = ?
Time = ?
A
= Distance/Time
= Speed•Time
= Distance/Speed
7
Q
Completing the square
ax2 + bx + c = 0 ⇒
A
⇒ a(x+d)2 + e = 0
d = b/2a
e = c - b2/4a
8
Q
a3 + b3
Sum of cubes
A
(a + b)•(a2 – ab + b2)
9
Q
a3 – b3 =
Difference of cubes
A
(a – b)•(a2 + ab + b2)