What is the distance between the points (0, 0) and (3, 4)?

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Question: What is the distance between the points (0, 0) and (3, 4)?

Options:

Correct Answer: 5

Solution:

Using the distance formula: d = √[(3 - 0)² + (4 - 0)²] = √[9 + 16] = √25 = 5.

What is the distance between the points (0, 0) and (3, 4)?

What is the distance between the points (0, 0) and (3, 4)?

Step 1: Identify the coordinates of the two points. The first point is (0, 0) and the second point is (3, 4).
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 (3, 4).
Step 3: Substitute the values into the formula: d = √[(3 - 0)² + (4 - 0)²].
Step 4: Calculate (3 - 0)², which is 3² = 9.
Step 5: Calculate (4 - 0)², which is 4² = 16.
Step 6: Add the two results together: 9 + 16 = 25.
Step 7: Take the square root of 25: √25 = 5.
Step 8: The distance between the points (0, 0) and (3, 4) is 5.

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