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Find the distance between the points (5,9)(5,9) and (5,2)(5,2).\newline____ units

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Q. Find the distance between the points (5,9)(5,9) and (5,2)(5,2).\newline____ units
  1. Apply distance formula: Step 11: Apply the distance formula (x2−x1)2+(y2−y1)2\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}.\newlineGiven points (x1,y1)=(5,9)(x_1, y_1) = (5, 9) and (x2,y2)=(5,2)(x_2, y_2) = (5, 2).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (5−5)2=02=0(5-5)^2 = 0^2 = 0
  2. Calculate squared differences: Step 22: Calculate (y2−y1)2(y_2-y_1)^2.(9−2)2=72=49(9-2)^2 = 7^2 = 49
  3. Compute square root: Step 33: Compute the square root of the sum of squares. 0+49=49=7\sqrt{0 + 49} = \sqrt{49} = 7

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