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Find the distance between the points (7,−2)(7,-2) and (−2,10)(-2,10).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units

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Full solution

Q. Find the distance between the points (7,−2)(7,-2) and (−2,10)(-2,10).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units
  1. Calculate Differences: Calculate the differences in the xx-coordinates and yy-coordinates of the points.\newlineDifference in xx-coordinates: 7−(−2)=97 - (-2) = 9\newlineDifference in yy-coordinates: −2−10=−12-2 - 10 = -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=92+(−12)2=81+144=225\text{distance} = \sqrt{9^2 + (-12)^2} = \sqrt{81 + 144} = \sqrt{225}
  3. Calculate Square Root: Calculate the square root of 225225 to find the distance.225=15\sqrt{225} = 15

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