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Find the distance between the points (10,7)(10,7) and (5,−5)(5,-5). \newlineRound decimals to the nearest tenth. ___\_\_\_ units

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Full solution

Q. Find the distance between the points (10,7)(10,7) and (5,−5)(5,-5). \newlineRound decimals to the nearest tenth. ___\_\_\_ units
  1. Calculate Differences: Calculate the differences in the xx-coordinates and yy-coordinates.\newlineDifference in xx-coordinates: 10−5=510 - 5 = 5\newlineDifference in yy-coordinates: 7−(−5)=127 - (-5) = 12
  2. Use Distance Formula: Use the distance formula: distance=(x2−x1)2+(y2−y1)2\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.\newlineSubstitute the differences: distance=52+122=25+144=169\text{distance} = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169}
  3. Calculate Square Root: Calculate the square root of 169169.169=13\sqrt{169} = 13
  4. Round Result: Round the result to the nearest tenth.\newlineRounded distance = 13.013.0 units

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