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Chapter 9

Chapter 9. Conic Sections Objectives: Classify a conic section as the intersection of a plane and a double cone. Use the distance and midpoint formulas. Standard: 2.8.11.E. Use equations to represent curves. 9.1 Introduction to Conic Sections.

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Chapter 9

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  1. Chapter 9 Conic Sections Objectives: Classify a conic section as the intersection of a plane and a double cone. Use the distance and midpoint formulas. Standard: 2.8.11.E. Use equations to represent curves.

  2. 9.1 Introduction to Conic Sections

  3. Example 1 - Graph each equation and identify the conic section. Be sure to use a square viewing window!!! This equation represents a circle. This equation represents a hyperbola.

  4. Example 1 continued ** c. d.

  5. Distance Formula

  6. Example 3 ** Find the distance between P(2, 3) and Q(-3, -8). Give an exact answer and an approximate answer rounded to the nearest hundredth.

  7. Example 4** An EMS helicopter is stationed at Hospital 1, which is 4 miles west and 2 miles north of an automobile accident. Another EMS helicopter is stationed at Hospital 2, which is 3 miles east and 3 miles north of the accident. Which helicopter is closer to the accident?

  8. Example 5a Midpoint Formula

  9. Example 5b ** Find the coordinates of the midpoint, M, of a line segment whose endpoints are A(2.5, 5.5) and B(8.5, -4.5)

  10. Example 6a

  11. Example 6b** The endpoints of a diameter of a circle are A(-3, 2) and B(5, 4). Find the center, circumference, and area of the circle.

  12. Homework Pg. 567-568 #10-52 even

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