Final answer:
The Euclidean distance between the points (-4, 9) and (5, 2) is approximately 11.40 units.
Step-by-step explanation:
The Euclidean distance between two points in a two-dimensional coordinate system can be calculated using the formula:
d = √((x2 - x1)² + (y2 - y1)²)
In this case, the two points are (-4, 9) and (5, 2). Plugging in the values, we get:
d = √((5 - (-4))² + (2 - 9)²) = √(9² + 7²) = √(81 + 49) = √130 ≈ 11.40
So, the Euclidean distance between the two points is approximately 11.40 units. Therefore, the correct answer is not among the given options.