What is the distance between the points (0, 0) and (x, y) where x = 3 and y = 4?

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Question: What is the distance between the points (0, 0) and (x, y) where x = 3 and y = 4? (2022)

Options:

Correct Answer: 5

Exam Year: 2022

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 (x, y) where x = 3 and y = 4? (2022)

What is the distance between the points (0, 0) and (x, y) where x = 3 and y = 4? (2022)

Step 1: Identify the coordinates of the two points. The first point is (0, 0) and the second point is (3, 4).
Step 2: Write down the distance formula, which is d = √[(x2 - x1)² + (y2 - y1)²].
Step 3: Substitute the coordinates into the formula. Here, (x1, y1) is (0, 0) and (x2, y2) is (3, 4).
Step 4: Calculate (x2 - x1) which is (3 - 0) = 3.
Step 5: Calculate (y2 - y1) which is (4 - 0) = 4.
Step 6: Square the results from Step 4 and Step 5. So, 3² = 9 and 4² = 16.
Step 7: Add the squared results together: 9 + 16 = 25.
Step 8: Take the square root of the sum from Step 7: √25 = 5.
Step 9: The distance between the points (0, 0) and (3, 4) is 5.

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