What is the distance between the points (5, 5) and (5, 1)?

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Question: What is the distance between the points (5, 5) and (5, 1)?

Options:

Correct Answer: 4.0

Solution:

Using the distance formula: d = √((5 - 5)² + (1 - 5)²) = √(0 + 16) = √16 = 4.0.

What is the distance between the points (5, 5) and (5, 1)?

What is the distance between the points (5, 5) and (5, 1)?

Step 1: Identify the coordinates of the two points. The first point is (5, 5) and the second point is (5, 1).
Step 2: Write down the distance formula: d = √((x2 - x1)² + (y2 - y1)²).
Step 3: Assign the coordinates to the formula. Here, x1 = 5, y1 = 5, x2 = 5, and y2 = 1.
Step 4: Substitute the values into the formula: d = √((5 - 5)² + (1 - 5)²).
Step 5: Calculate (5 - 5) which is 0, so (5 - 5)² = 0² = 0.
Step 6: Calculate (1 - 5) which is -4, so (1 - 5)² = (-4)² = 16.
Step 7: Add the results from Step 5 and Step 6: 0 + 16 = 16.
Step 8: Take the square root of 16: √16 = 4.
Step 9: The distance between the points (5, 5) and (5, 1) is 4.

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