Question - Calculating Distance Between Two Points in a Coordinate System
Solution:
To find the distance between two points in a coordinate system, you can use the distance formula:Distance = √[(x2 - x1)² + (y2 - y1)²]Plugging in the coordinates for the two points (9,2) and (2,9), we get:x1 = 9, y1 = 2x2 = 2, y2 = 9Distance = √[(2 - 9)² + (9 - 2)²]Distance = √[(-7)² + (7)²]Distance = √[49 + 49]Distance = √[98]Now, we can round the result to the nearest tenth:Distance ≈ √[98] ≈ 9.899494937Rounded to the nearest tenth, the distance is approximately 9.9 units.
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