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What is the distance between P(–4, 3) and Q(6, 1)?

  • 2 years ago
  • 2 years ago

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  1. ParthKohli Group Title
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    Use the distance formula., if you know it!

    • 2 years ago
  2. ParthKohli Group Title
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    \[distance = {\sqrt(x_2 - x_1)^2 + (y_2 - y_1)^2}\]

    • 2 years ago
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    \[d = \sqrt(x^2 - x^1)^2 + (y^2 - y^1)^2\]

    • 2 years ago
  4. ParthKohli Group Title
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    Yeah, but 2 and 1 are subs... not exponents!

    • 2 years ago
  5. Lime Group Title
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    \[d = \sqrt(3 - 1)^2 + (-4 + 6)^2?\]

    • 2 years ago
  6. Lime Group Title
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    \[= \sqrt(2)^2 + (10)^2\]

    • 2 years ago
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    \[\sqrt(4 + 100) = \sqrt(104) \approx \]

    • 2 years ago
  8. ParthKohli Group Title
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    Yes

    • 2 years ago
  9. Lime Group Title
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    And rounded to the nearest tenth is approximately 10.2? Thanks @ParthKohli ! :)

    • 2 years ago
  10. ParthKohli Group Title
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    Actually you can express it in radical form, since that's more accurate!

    • 2 years ago
  11. ParthKohli Group Title
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    104|2 52|2 26|2 13|13 -------

    • 2 years ago
  12. ParthKohli Group Title
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    \[\sqrt{104 } \implies \sqrt{2 \times 2 \times 2 \times 13} \implies 2\sqrt{26}\]

    • 2 years ago
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