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

Practice Questions

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

Questions & Step-by-Step Solutions

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