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Find the distance between the points (5,−4)(5,-4) and (10,8)(10,8). If necessary, round your answer to the nearest tenth.\newline____\_\_\_\_ units

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Full solution

Q. Find the distance between the points (5,−4)(5,-4) and (10,8)(10,8). If necessary, round your answer to the nearest tenth.\newline____\_\_\_\_ units
  1. Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates.\newlineDifference in x-coordinates: 10−5=510 - 5 = 5\newlineDifference in y-coordinates: 8−(−4)=128 - (-4) = 12
  2. Apply Distance Formula: Apply the distance formula: (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}.\newlineSubstitute the differences: (5)2+(12)2\sqrt{(5)^2 + (12)^2}
  3. Calculate Squares: Calculate the squares of the differences.\newline52=255^2 = 25\newline122=14412^2 = 144
  4. Add and Find Square Root: Add the squares and find the square root.\newline25+144=169\sqrt{25 + 144} = \sqrt{169}\newline169=13\sqrt{169} = 13

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