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Intermediate Algebra
n/a
31
Mathematics
11th Grade
11/29/2012

Additional Mathematics Flashcards

 


 

Cards

Term
center-radius circle equation
Definition
(x –h)2 + (y – k)2 = r2
Term
Center of a circle (or ellipse)
Definition
(h,k)
Term
general circle equation
Definition
ax2 + by2 + cx + dy + e = 0
Term
general ellipse equation
Definition
ax2 + by2 + cx + dy + e = 0
Term
useful ellipse equation
Definition
[image]
Term
vertex form of a quadratic equation
Definition
y = a(xh)2 + k
Term
how to find the vertex of a parabola
Definition
[image]
Term
Remainder Theorem
Definition

p(x)  =  (xa) q(x)  +  r(x)


p(x)=polynomial equation


(xa)=divisor


q(x)=quotient


r(x)=remainder


Term
nth term of a sequence
Definition

an = ar(n – 1)


(r=ratio)

Term
arithmatic sequence equation
Definition
[image]
Term
finite geometric sequence
Definition
[image]
Term
infinite geometric sequence
Definition
[image]
Term
Quadratic Formula
Definition
[image]
Term
Sum of Cubes
Definition
a3 + b3 = (a + b)(a2ab + b2)
Term
difference of cubes
Definition
a3b3 = (ab)(a2 + ab + b2)
Term
"F varies as X"
Definition
F=kx
Term
"F varies jointly as x and y"
Definition
F=kxy
Term
"F varies as x + y"
Definition
F=k(x+y)
Term
"F varies inversely as x"
Definition
F=k/x
Term
Binomial Theorem
Definition

[image]

 

or

 

[image]

Term
Hyperbola equation
Definition

c2 = b2 + a2

a= distance between center and vertex

b= midpoint between center and vertex

c= distance between center and foci

Term
fixed difference property of a hyperbola
Definition

(a + c) – (ca) = 2a



a=distance between center and vertex

c=distance between center and foci

Term
vertical hyperbola
Definition
[image]
Term
horizontal hyperbola
Definition
[image]
Term
asymtote of a vertical hyperbola
Definition
[image]
Term
asymptote of a horizontal hyperbola
Definition
[image]
Term
equation of an ellipse
Definition

b2 + c2 = a2


b=distance from center to minor axis

c=distance from center to foci

a=distance from center to major axis

Term
equation for wide ellipse
Definition
[image]
Term
equation for tall ellipse
Definition
[image]
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