If point E is at (3, 4) and point F is at (6, 8), what is the distance between E

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Question: If point E is at (3, 4) and point F is at (6, 8), what is the distance between E and F?

Options:

Correct Answer: 5

Solution:

Using the distance formula: d = √((6 - 3)² + (8 - 4)²) = √(9 + 16) = √25 = 5.

If point E is at (3, 4) and point F is at (6, 8), what is the distance between E and F?

If point E is at (3, 4) and point F is at (6, 8), what is the distance between E and F?

Step 1: Identify the coordinates of point E, which are (3, 4).
Step 2: Identify the coordinates of point F, which are (6, 8).
Step 3: Use the distance formula, which is d = √((x2 - x1)² + (y2 - y1)²).
Step 4: Substitute the coordinates into the formula: d = √((6 - 3)² + (8 - 4)²).
Step 5: Calculate (6 - 3) which equals 3, and (8 - 4) which equals 4.
Step 6: Square the results: (3)² = 9 and (4)² = 16.
Step 7: Add the squared results together: 9 + 16 = 25.
Step 8: Take the square root of 25: √25 = 5.
Step 9: The distance between points E and F is 5.

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