If point C is at (4, 5) and point D is at (10, 15), what is the distance between

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Question: If point C is at (4, 5) and point D is at (10, 15), what is the distance between C and D?

Options:

Correct Answer: 11.18

Solution:

Using the distance formula: d = √((10 - 4)² + (15 - 5)²) = √(36 + 100) = √136 ≈ 11.18.

If point C is at (4, 5) and point D is at (10, 15), what is the distance between C and D?

If point C is at (4, 5) and point D is at (10, 15), what is the distance between C and D?

Step 1: Identify the coordinates of point C, which are (4, 5).
Step 2: Identify the coordinates of point D, which are (10, 15).
Step 3: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²).
Step 4: Substitute the coordinates into the formula: d = √((10 - 4)² + (15 - 5)²).
Step 5: Calculate (10 - 4) which equals 6, and (15 - 5) which equals 10.
Step 6: Square the results: 6² = 36 and 10² = 100.
Step 7: Add the squared results together: 36 + 100 = 136.
Step 8: Take the square root of 136: √136.
Step 9: Calculate the square root, which is approximately 11.18.

Distance Formula – The distance between two points in a Cartesian plane is calculated using the formula d = √((x2 - x1)² + (y2 - y1)²).