What is the distance between the points (0, 0) and (5, 12)?

Practice Questions

Q1
What is the distance between the points (0, 0) and (5, 12)?
  1. 12.5
  2. 13.0
  3. 11.0
  4. 10.0

Questions & Step-by-Step Solutions

What is the distance between the points (0, 0) and (5, 12)?
  • Step 1: Identify the coordinates of the two points. The first point is (0, 0) and the second point is (5, 12).
  • Step 2: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²). Here, (x1, y1) is (0, 0) and (x2, y2) is (5, 12).
  • Step 3: Substitute the values into the formula: d = √((5 - 0)² + (12 - 0)²).
  • Step 4: Calculate (5 - 0)², which is 5² = 25.
  • Step 5: Calculate (12 - 0)², which is 12² = 144.
  • Step 6: Add the two results together: 25 + 144 = 169.
  • Step 7: Take the square root of 169: √169 = 13.
  • Step 8: The distance between the points (0, 0) and (5, 12) is 13.
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