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k1 Math Final

Terms

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Difference of squares
(rad a - rad b)(rad a + rad b)
Difference/Sum of cubes
Sum: (a+b)(a^2-ab+b^2) diff: (a-b)(a^2+ab+b^2)
(a+/-b)^2
a^2+/-2ab+b^2
rad (a^2)
absolute a
X in/out of the house
x in the house- sqaure both sides x out: solve for x
Parabola
y-k=a(x-h)^2
h
-b/2a
Quadratic equation
a(x^2-(sum roots)+(prod roots)
Direct Variation
y=kx or k=y/x
Inverse and Joint Variation
inverse: y=k/x joint: z=kxy
rational roots
plus or minus k/h (or c/a)
Distance formula
rad((x2-x1)^2+(y2-y1)^2)
MP Formula
x1+x2/2, y1+y2/2
Circles
(x-h)^2 + (y-k)^2= radius^2
Elipses and hyperbolas
see real cards
Parabola: Focus and Directrix
x^2: f= (h, k+c) d= y=k-c a of s= x=h y^2: f= (h+c, k) d= x= h-c a of s= y=k
Definition of b^p/q
b^p/q=(the qth root of b)^p= the qth root of b^p
Slope
Y2-Y1/ x2-x1
Domain
What x can not equal. Ie: a radical cannot equal a neg. number and the denomenator of a fraction cannot equal zero.
Zeros
When y=0 what does numerator equal.

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