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Find the distance between the points (10,10)(10,10) and (10,5)(10,5).\newline___\_\_\_ units

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Full solution

Q. Find the distance between the points (10,10)(10,10) and (10,5)(10,5).\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)=(10,10)(x_1, y_1) = (10, 10) and (x2,y2)=(10,5)(x_2, y_2) = (10, 5).\newlineCalculate (x2−x1)2(x_2-x_1)^2: (10−10)2=02=0(10-10)^2 = 0^2 = 0
  2. Calculate squared differences: Step 22: Calculate (y2−y1)2(y_2-y_1)^2: (5−10)2=(−5)2=25(5-10)^2 = (-5)^2 = 25
  3. Compute square root: Step 33: Compute the square root of the sum of squares: 0+25=25=5\sqrt{0 + 25} = \sqrt{25} = 5

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