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The Power of a Point PowerPoint

The Power of a Point PowerPoint. (with some other kinds of problems too) April 1, 2009. Quadrilateral ABCD is circumscribed about circle O. Find the perimeter of ABCD. Answer to Quadrilateral ABCD: 28. Solve the equation log 2x 216 =x, where x is real. Answer to log 2x 216: x = 3.

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The Power of a Point PowerPoint

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  1. The Power of a PointPowerPoint (with some other kinds of problems too) April 1, 2009

  2. Quadrilateral ABCD is circumscribed about circle O. Find the perimeter of ABCD.

  3. Answer to Quadrilateral ABCD:28

  4. Solve the equation log2x216 =x, where x is real.

  5. Answer to log2x216: x = 3

  6. If the sum of two complex numbers is 1 and their product is 1, what is the sum of their squares?

  7. Answer to sum of squares:-1

  8. Hexagon ABCDEF is circumscribed about a circle. AB = 8, CD = 9, EF = 10, and BC = 7. Find the value of DE + FA.

  9. Answer to Hexagon ABCDEF:20

  10. Find the shaded area.

  11. Answer to shaded area:30

  12. If 19C8 (“19 choose 8”) is 75,582, what is 19C9?

  13. Answer to 19C9: 92,378

  14. Find the center of the circle with equation x2 + y2 - 6x + 4√2 y = 64.

  15. Answer to the center of the circle: (3, -2√2)

  16. What base 8 number does 1100102 represent?

  17. Answer to base 8 number:628

  18. AC = 4, CD = 5, radius OD = 18. Find AB.

  19. Answer to AB: 1714

  20. Find the product of the roots of 6x2 + 17x – 42 = 0

  21. Answer to product of the roots:-7

  22. Find the constant term of the expansion of (x2 – 2/x)6

  23. Answer to the constant term: 240

  24. A circle of radius 2 rolls around the outside of a square of side 4. Find the length of the path made by the center of the circle.

  25. Answer to the circle rolling around the square:16 + 4π

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