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center-radius circle equation |
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Center of a circle (or ellipse) |
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ax2 + by2 + cx + dy + e = 0 |
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ax2 + by2 + cx + dy + e = 0 |
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vertex form of a quadratic equation |
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how to find the vertex of a parabola |
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p(x) = (x – a) q(x) + r(x)
p(x)=polynomial equation
(x – a)=divisor
q(x)=quotient
r(x)=remainder
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arithmatic sequence equation |
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finite geometric sequence |
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infinite geometric sequence |
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a3 + b3 = (a + b)(a2 – ab + b2) |
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a3 – b3 = (a – b)(a2 + ab + b2) |
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"F varies jointly as x and y" |
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"F varies inversely as x" |
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c2 = b2 + a2
a= distance between center and vertex
b= midpoint between center and vertex
c= distance between center and foci |
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fixed difference property of a hyperbola |
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(a + c) – (c – a) = 2a
a=distance between center and vertex
c=distance between center and foci
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asymtote of a vertical hyperbola |
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asymptote of a horizontal hyperbola |
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b2 + c2 = a2
b=distance from center to minor axis
c=distance from center to foci
a=distance from center to major axis
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equation for wide ellipse |
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equation for tall ellipse |
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