Final answer:
The distance between points A (9,-12) and B (10,-10) is √5 units, which is approximately 2.24 units. The closest multiple-choice answer is 2 units (Answer A).
Step-by-step explanation:
To calculate the distance between two points A (9,-12) and B (10,-10) on the Cartesian plane, we can use the distance formula, which is derived from the Pythagorean theorem:
Distance = √((x2 - x1)² + (y2 - y1)²)
Here, (x1, y1) are the coordinates of point A and (x2, y2) are the coordinates of point B. So, substituting the given points:
Distance = √((10 - 9)² + (-10 + 12)²) = √((1)² + (2)²) = √(1 + 4) = √5
The exact distance is √5 units. However, since this is not an option in the multiple-choice answers and √5 is approximately 2.24 units, the closest answer choice would be 2 units (Answer A). It's important to note here that if this were an open-ended question, the exact answer of √5 should be given.