What is the distance between (0,0) and (3,4)?

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Multiple Choice

What is the distance between (0,0) and (3,4)?

Explanation:
The distance between two points is found using the Pythagorean idea: the change in x and the change in y form the legs of a right triangle, and the distance is the hypotenuse. From (0,0) to (3,4), the horizontal change is 3 and the vertical change is 4. Square each: 3^2 = 9 and 4^2 = 16, add them to get 25. The distance is the square root of that sum, sqrt(25) = 5. This is the classic 3-4-5 right triangle, so the distance is 5.

The distance between two points is found using the Pythagorean idea: the change in x and the change in y form the legs of a right triangle, and the distance is the hypotenuse. From (0,0) to (3,4), the horizontal change is 3 and the vertical change is 4. Square each: 3^2 = 9 and 4^2 = 16, add them to get 25. The distance is the square root of that sum, sqrt(25) = 5. This is the classic 3-4-5 right triangle, so the distance is 5.

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