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Find the distance between the points (2,−9)(2,-9) and (−7,3)(-7,3).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units

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Full solution

Q. Find the distance between the points (2,−9)(2,-9) and (−7,3)(-7,3).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units
  1. Calculate x-coordinate difference: Calculate the difference in x-coordinates: (−7)−2=−9(-7) - 2 = -9.
  2. Calculate y-coordinate difference: Calculate the difference in y-coordinates: 3−(−9)=123 - (-9) = 12.
  3. Use distance formula: Use the distance formula: distance=(−9)2+122=81+144=225\text{distance} = \sqrt{(-9)^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225}.
  4. Calculate square root: Calculate the square root of 225225: 225=15.0\sqrt{225} = 15.0.
  5. Round to nearest tenth: Round the result to the nearest tenth: 15.015.0 rounds to 15.015.0.

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