What is the distance between the points (5, 5) and (5, 10)?

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Question: What is the distance between the points (5, 5) and (5, 10)?

Options:

Correct Answer: 5.0

Solution:

Using the distance formula: d = √((5 - 5)² + (10 - 5)²) = √(0 + 25) = √25 = 5.0.

What is the distance between the points (5, 5) and (5, 10)?

What is the distance between the points (5, 5) and (5, 10)?

Step 1: Identify the coordinates of the two points. The first point is (5, 5) and the second point is (5, 10).
Step 2: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²). Here, (x1, y1) is (5, 5) and (x2, y2) is (5, 10).
Step 3: Substitute the values into the formula: d = √((5 - 5)² + (10 - 5)²).
Step 4: Calculate (5 - 5) which is 0, and (10 - 5) which is 5.
Step 5: Now the formula looks like this: d = √(0² + 5²).
Step 6: Calculate 0² which is 0, and 5² which is 25.
Step 7: Now the formula is d = √(0 + 25).
Step 8: Simplify to d = √25.
Step 9: Calculate the square root of 25, which is 5.
Step 10: The distance between the points (5, 5) and (5, 10) is 5.

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