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Find the distance between the points (−7,5)(-7,5) and (1,−10)(1,-10).\newline\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units\newline

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Full solution

Q. Find the distance between the points (−7,5)(-7,5) and (1,−10)(1,-10).\newline\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units\newline
  1. Calculate Differences: Calculate the differences in the x-coordinates and y-coordinates of the points.\newlinex2−x1=1−(−7)=8x_2 - x_1 = 1 - (-7) = 8\newliney2−y1=−10−5=−15y_2 - y_1 = -10 - 5 = -15
  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}.
    distance=(8)2+(−15)2=64+225=289\text{distance} = \sqrt{(8)^2 + (-15)^2} = \sqrt{64 + 225} = \sqrt{289}
  3. Calculate Square Root: Calculate the square root of 289289.289=17\sqrt{289} = 17
  4. Round Result: Round the result to the nearest tenth.\newlineRounded distance = 17.017.0 units

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