≈ 5.39 units
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To find the distance d between two points P₁ and P₂, we can use the distance formula, which is derived from the Pythagorean Theorem.
The points given are P₁ = (0,0) and P₂ = (5,2).
According to the distance formula, the distance squared (d²) between two points (x₁, y₁) and (x₂, y₂) is:
- d² = (x₂ - x₁)² + (y₂ - y₁)²
Substitute the given coordinates into the formula:
- d² = (5 - 0)² + (2 - 0)²
- d² = 5² + 2²
- d² = 25 + 4
- d² = 29
To find d, the actual distance, we take the square root of the distance squared:
- d = √29 ≈ 5.39 (rounded to two decimal places)
Therefore, the distance between points P₁ and P₂ is approximately 5.39 units.
