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Center (-4, -6); Point of Tangency (-4, -9)
Math Warm Up /4/13 Find the equation of the tangent line with the given center and pt of tangency. Center (-4, -6); Point of Tangency (-4, -9) Find the equation of the tangent line to the given circle at the point. 2. (𝑥+9) 2 + (𝑦+5) 2 =100; (-15, 3)
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Conics: Ellipses Day 1 March 4th, 2013
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What does an ellipse look like?
Examples of Ellipses in the real world?
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Definitions Ellipse: Foci: Major Axis: Minor Axis: Vertices:
Co-vertices:
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The standard form of the equation of an ellipse with center (h, k) is
(𝑥−ℎ) 2 𝑎 (𝑦−𝑘) 2 𝑏 2 =1
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Length of the major axis is Length of the minor axis is
When 𝑎 2 > 𝑏 2 The major axis is Length of the major axis is Length of the minor axis is Foci: 𝑐 2 = (h________, k) Vertices: (h________, k) Co-vertices: (h, k________)
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When 𝑏 2 > 𝑎 2 The major axis is Length of the major axis is Length of the minor axis is Foci: 𝑐 2 = (h, k________) Vertices: (h, k________) Co-vertices: (h________, k)
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Assignment: pg. 637 # 19-21, odd
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