Final answer:
To find the distance between the points (-5.5, 2) and (2, -5.5), we use the distance formula. After plugging in the coordinates and simplifying, the distance comes to approximately 10.6 units. However, based on the provided options, we round down to the nearest whole number which gives us C. 10 units.
Step-by-step explanation:
The question asks for the distance between two points on a coordinate grid. The two points are (-5.5, 2) and (2, -5.5). To find the distance, we use the distance formula which is derived from the Pythagorean theorem. The distance formula is given by:
D = √((x2 - x1)2 + (y2 - y1)2)
Plugging in the coordinates of the two points into the formula:
D = √((2 - (-5.5))2 + (-5.5 - 2)2)
D = √((7.5)2 + (-7.5)2)
D = √(56.25 + 56.25)
D = √(112.50)
D = 10.6 (approximately)
However, considering the options provided, we round down to the closest option which is 10 units. Therefore, the correct answer is C. 10 units.