What is the distance between the points (5, 5) and (5, 1)?

Practice Questions

Q1
What is the distance between the points (5, 5) and (5, 1)?
  1. 4.0
  2. 5.0
  3. 3.0
  4. 2.0

Questions & Step-by-Step Solutions

What is the distance between the points (5, 5) and (5, 1)?
  • Step 1: Identify the coordinates of the two points. The first point is (5, 5) and the second point is (5, 1).
  • Step 2: Write down the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
  • Step 3: Assign the coordinates to the formula. Here, x1 = 5, y1 = 5, x2 = 5, and y2 = 1.
  • Step 4: Substitute the values into the formula: d = √((5 - 5)² + (1 - 5)²).
  • Step 5: Calculate (5 - 5) which is 0, so (5 - 5)² = 0² = 0.
  • Step 6: Calculate (1 - 5) which is -4, so (1 - 5)² = (-4)² = 16.
  • Step 7: Add the results from Step 5 and Step 6: 0 + 16 = 16.
  • Step 8: Take the square root of 16: √16 = 4.
  • Step 9: The distance between the points (5, 5) and (5, 1) is 4.
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