What is the distance between the points (3, 7) and (3, 1)?

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Question: What is the distance between the points (3, 7) and (3, 1)?

Options:

Correct Answer: 6

Solution:

Using the distance formula: d = √[(3 - 3)² + (1 - 7)²] = √[0 + 36] = √36 = 6.

What is the distance between the points (3, 7) and (3, 1)?

What is the distance between the points (3, 7) and (3, 1)?

Step 1: Identify the coordinates of the two points. The first point is (3, 7) and the second point is (3, 1).
Step 2: Write down the distance formula: d = √[(x2 - x1)² + (y2 - y1)²].
Step 3: Substitute the coordinates into the formula. Here, x1 = 3, y1 = 7, x2 = 3, and y2 = 1.
Step 4: Calculate the difference in the x-coordinates: (3 - 3) = 0.
Step 5: Calculate the difference in the y-coordinates: (1 - 7) = -6.
Step 6: Square the differences: (0)² = 0 and (-6)² = 36.
Step 7: Add the squared differences: 0 + 36 = 36.
Step 8: Take the square root of the sum: √36 = 6.
Step 9: The distance between the points (3, 7) and (3, 1) is 6.

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