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What is the distance between the points (1, 2) and (4, 6)?
What is the distance between the points (1, 2) and (4, 6)?
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Q1
What is the distance between the points (1, 2) and (4, 6)?
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Distance = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the distance between the points (1, 2) and (4, 6)?
Solution:
Distance = √[(4-1)² + (6-2)²] = √[9 + 16] = √25 = 5.
Steps: 8
Show Steps
Step 1: Identify the coordinates of the two points. The first point is (1, 2) and the second point is (4, 6).
Step 2: Use the distance formula, which is Distance = √[(x2 - x1)² + (y2 - y1)²]. Here, (x1, y1) is (1, 2) and (x2, y2) is (4, 6).
Step 3: Calculate the difference in the x-coordinates: x2 - x1 = 4 - 1 = 3.
Step 4: Calculate the difference in the y-coordinates: y2 - y1 = 6 - 2 = 4.
Step 5: Square the differences: (3)² = 9 and (4)² = 16.
Step 6: Add the squared differences together: 9 + 16 = 25.
Step 7: Take the square root of the sum: √25 = 5.
Step 8: The distance between the points (1, 2) and (4, 6) is 5.
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