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Find the distance between the points (−8,−5)(-8,-5) and (−3,7)(-3,7).\newline\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units\newline

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Full solution

Q. Find the distance between the points (−8,−5)(-8,-5) and (−3,7)(-3,7).\newline\newlineRound decimals to the nearest tenth.\newline___\_\_\_ units\newline
  1. Calculate Differences: Calculate the differences in the xx-coordinates and yy-coordinates of the points (−8,−5)(-8,-5) and (−3,7)(-3,7).x2−x1=−3−(−8)=5x_2 - x_1 = -3 - (-8) = 5,y2−y1=7−(−5)=12y_2 - y_1 = 7 - (-5) = 12.
  2. Use Distance Formula: Use the distance formula, d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find the distance between the points.d=52+122=25+144=169d = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169}.
  3. Calculate Square Root: Calculate the square root of 169169 to find the distance.169=13.\sqrt{169} = 13.

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