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nerdyotter

  • one year ago

When the point (–5, 7) is dilated with the center of dilation at the origin, the image of the point is (–18.5, 25.9). What is the scale factor of this dilation?

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  1. nerdyotter
    • one year ago
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    Answers: a.) 18.9 b.) 13.5 c.) 7.3 d.) 3.7

  2. LynFran
    • one year ago
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    |dw:1439521544235:dw|

  3. LynFran
    • one year ago
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    so k must =?

  4. LynFran
    • one year ago
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    3.7

  5. LynFran
    • one year ago
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    another way to do this is..

  6. anonymous
    • one year ago
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    The point (-5,7) has a distance from the origin of \[\sqrt{74}\] (using distance formula or pythagorean theorem) and the point (-18.5, 25.9) has distance from the origin of \[\sqrt{1013.06}\approx31.8286\] (againg, with distance formula or pythagorean theorem), then we divide both distances getting \[\frac{ \sqrt{1013.06} }{ \sqrt{74} }=3.7\] Alternative D

  7. nerdyotter
    • one year ago
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    Thank you all!

  8. LynFran
    • one year ago
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    \[-5k+0=-18.5\]\[-5k=-18.5\]\[k=-18.5/-5\]\[k=3.7\] ...\[0+7k=25.9\]\[7k=25.9\]\[k=25.9/7\]\[k=3.7\]

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