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Find the distance between the points (10,−4)(10,-4) and (1,8)(1,8).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units

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Full solution

Q. Find the distance between the points (10,−4)(10,-4) and (1,8)(1,8).\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units
  1. Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points. \newlineFor x-coordinates: 10−1=910 - 1 = 9.\newlineFor y-coordinates: −4−8=−12-4 - 8 = -12.
  2. Apply Distance Formula: Apply 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=15.0.\sqrt{225} = 15.0.
  4. Round the Result: Round the result to the nearest tenth. 15.015.0 rounded to the nearest tenth is 15.015.0.

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