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The distance between the two pointsP (4,3) from the point (0,0) is. equals to.

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Final answer:

The distance between the point P (4,3) and the origin (0,0) in a two-dimensional Cartesian coordinate system is found to be 5 units using the distance formula derived from the Pythagorean theorem.

Step-by-step explanation:

The distance between two points in a two-dimensional Cartesian coordinate system can be calculated using the distance formula, which is derived from the Pythagorean theorem.

To find the distance between point P (4,3) and the origin (0,0), we apply the formula:

d = √((x2 - x1)² + (y2 - y1)²)

Here, (x1, y1) = (0, 0) and (x2, y2) = (4, 3). Substituting these values in the formula, we get:

d = √((4 - 0)² + (3 - 0)²)

d = √(16 + 9)

d = √25

d = 5

The distance between the points P (4,3) and the origin (0,0) is 5 units.

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