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Section 2.8 Distance and Midpoint Formulas and Circles

Section 2.8 Distance and Midpoint Formulas and Circles. Section 2.8 Distance and Midpoint Formulas and Circles. The Distance Formula. Section 2.8 Distance and Midpoint Formulas and Circles. Distance Formula. Figure 2.59. Section 2.8 Distance and Midpoint Formulas and Circles.

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Section 2.8 Distance and Midpoint Formulas and Circles

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  1. Section 2.8Distance and Midpoint Formulas and Circles Section 2.8 Distance and Midpoint Formulas and Circles

  2. The Distance Formula Section 2.8 Distance and Midpoint Formulas and Circles

  3. Distance Formula Figure 2.59 Section 2.8 Distance and Midpoint Formulas and Circles

  4. Section 2.8 Distance and Midpoint Formulas and Circles

  5. Example Find the distance between (4,-5) and (9,-2). Section 2.8 Distance and Midpoint Formulas and Circles

  6. The Midpoint Formula Section 2.8 Distance and Midpoint Formulas and Circles

  7. (6,8) (-1,5) Section 2.8 Distance and Midpoint Formulas and Circles

  8. Example Find the midpoint of the segment whose endpoints are (-1,7) and (-5,9). Section 2.8 Distance and Midpoint Formulas and Circles

  9. Circles Section 2.8 Distance and Midpoint Formulas and Circles

  10. Section 2.8 Distance and Midpoint Formulas and Circles

  11. Write the standard form of the equation of the circle with the center (-4,1) and a radius of 3. Standard Form 3 (-4,1) Section 2.8 Distance and Midpoint Formulas and Circles

  12. Find the center and radius of the circle whose equation is Graph the equation. Use the graph to identify the relation’s domain and range. Why is it a relation and not a function? Center (-3,4); radius = 3 3 Domain: [-6,0]; Range: [1,7] (-3,4) Section 2.8 Distance and Midpoint Formulas and Circles

  13. Example Write the standard form of the equation of a circle with the center at (-2,7) and a radius of 5. Section 2.8 Distance and Midpoint Formulas and Circles

  14. Example Find the center and radius of the circle whose equation is below. Graph the equation. Use the graph to identify the relation’s domain and range. Section 2.8 Distance and Midpoint Formulas and Circles

  15. General Form Section 2.8 Distance and Midpoint Formulas and Circles

  16. ? ? Section 2.8 Distance and Midpoint Formulas and Circles

  17. Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation. Section 2.8 Distance and Midpoint Formulas and Circles

  18. Example Complete the square and write the equation in standard form. Then give the center and radius of the circle and graph the equation. Section 2.8 Distance and Midpoint Formulas and Circles

  19. Find the distance between the points (-1,8) and (9,5). (a) (b) (c) (d) Section 2.8 Distance and Midpoint Formulas and Circles

  20. Find the midpoint of the line segment with the endpoints of (-1,-1) and (- 5,8). (a) (b) (c) (d) Section 2.8 Distance and Midpoint Formulas and Circles

  21. Write the equation of the circle with the center at (0,7) and a radius of 4. (a) (b) (c) (d) Section 2.8 Distance and Midpoint Formulas and Circles

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