Final answer:
The distance between Point A (6, -9) and Point B (15, -12) is approximately 9.49 units, when calculated using the distance formula and rounded to two decimal places.
Step-by-step explanation:
The distance between Point A (6, -9) and Point B (15, – 12) can be found using the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
√[(x2 - x1)2 + (y2 - y1)2].
Plugging in the coordinates of Points A and B gives:
√[(15 - 6)2 + (–12 - (-9))2]
√[(9)2 + (-3)2]
√[81 + 9]
√[90]
9.49 (rounded to two decimal places).
Hence, the distance between Point A and Point B is approximately 9.49 units, correct to two decimal places.