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Find the distance between the points (3,9)(3,9) and (3,5)(3,5).\newline____\_\_\_\_ units

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Q. Find the distance between the points (3,9)(3,9) and (3,5)(3,5).\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)=(3,9)(x_1, y_1) = (3, 9) and (x2,y2)=(3,5)(x_2, y_2) = (3, 5).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (3−3)2=02=0(3-3)^2 = 0^2 = 0
  2. Calculate squared differences: Step 22: Calculate (y2−y1)2(y_2-y_1)^2: (5−9)2=(−4)2=16(5-9)^2 = (-4)^2 = 16
  3. Compute square root: Step 33: Compute the square root of the sum of squares: 0+16=16=4\sqrt{0 + 16} = \sqrt{16} = 4

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