Final answer:
The distance between the points (3, 10) and (-2, -2) is calculated using the distance formula, resulting in the distance of 13 units. None of the given options match this result, indicating a possible error in the options provided.
Step-by-step explanation:
Calculating the Distance Between Two Points
To find the distance between two points (3, 10) and (-2, -2), we use the distance formula which is derived from the Pythagorean theorem:
d = √((x2 - x1)² + (y2 - y1)²)
d represents the distance between the points, and (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the given values:
d = √((-2 - 3)² + (-2 - 10)²)
d = √((-5)² + (-12)²)
d = √(25 + 144)
d = √169
d = 13
The options provided do not include 13, so there seems to be a miscalculation in the given choices or possible typos in the question.
In this scenario, we must inform the student of the discrepancy and encourage them to check the problem parameters or provide the correct options.