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IB Mathematics: Applications and Interpretation SL · 12.8: Voronoi Diagrams · 12.8.6

The toxic waste dump problem Problem set B Answers

Skills

    1. (a) \(\sqrt{50}\)
    2. (b) 10.8
    1. (a) All three distances are \(\sqrt{58}\)
    2. (b) 7.62 units
    1. (a) P: 3.61; Q: 2.55; R: 3.72
    2. (b) R(4.5, 4.75)
    3. (c) 3.72 units

In context

    1. (a) (5.5, 3.5)
    2. (b) 3.54 units
    1. (a) \(y=-\dfrac{5}{4}x+\dfrac{7}{2}\)
    2. (b) \(x=2\)
    3. (c) (2, 1)
    4. (d) 6.40 units
    1. (a) (5.5, 2.5); 2.92 units
    2. (b) No. 2.92 is less than 3.5.

Stretch

    1. (a) 2.24 units
    2. (b) (0, 0): 5.39; (9, 0): 5.66; (9, 7): 3.61; (0, 7): 2.24. Farthest corner: (9, 0)
    3. (c) At the corner (9, 0), 5.66 units from B
    1. (a) (4.5, 2.5); 2.92 units
    2. (b) 26.7 square units

jmaths.xyz · AI SL · 12.8.6 The toxic waste dump problem