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Find the distance between the points (−3,5)(-3,5) and (−9,−3)(-9,-3). \newlineRound decimals to the nearest tenth. ___\_\_\_ units

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Full solution

Q. Find the distance between the points (−3,5)(-3,5) and (−9,−3)(-9,-3). \newlineRound decimals to the nearest tenth. ___\_\_\_ units
  1. Calculate Differences: Calculate the differences in the xx-coordinates and yy-coordinates.\newlineDifference in xx: −3−(−9)=6-3 - (-9) = 6\newlineDifference in yy: 5−(−3)=85 - (-3) = 8
  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}. Substitute the differences: distance=62+82=36+64=100\text{distance} = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100}
  3. Calculate Square Root: Calculate the square root of 100100.100=10.0\sqrt{100} = 10.0

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