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What is the distance between the points (0, 0) and (8, 6)?
What is the distance between the points (0, 0) and (8, 6)?
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Q1
What is the distance between the points (0, 0) and (8, 6)?
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Using the distance formula: d = √((8 - 0)² + (6 - 0)²) = √(64 + 36) = √100 = 10.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the distance between the points (0, 0) and (8, 6)?
Solution:
Using the distance formula: d = √((8 - 0)² + (6 - 0)²) = √(64 + 36) = √100 = 10.
Steps: 8
Show Steps
Step 1: Identify the coordinates of the two points. The first point is (0, 0) and the second point is (8, 6).
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 (8, 6).
Step 3: Substitute the values into the formula: d = √((8 - 0)² + (6 - 0)²).
Step 4: Calculate (8 - 0)², which is 8² = 64.
Step 5: Calculate (6 - 0)², which is 6² = 36.
Step 6: Add the two results together: 64 + 36 = 100.
Step 7: Take the square root of 100: √100 = 10.
Step 8: The distance between the points (0, 0) and (8, 6) is 10.
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