Final answer:
The distance between the coordinates (-2, -2) and (5, 3) is found using the distance formula, which is √((x2 - x1)² + (y2 - y1)²). After calculating, the distance comes out to be √74 units.
Step-by-step explanation:
To find the distance between the coordinates (-2, -2) and (5, 3), we use the distance formula derived from the Pythagorean theorem. This formula is:
d = √((x2 - x1)² + (y2 - y1)²)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Substituting the given values:
d = √((5 - (-2))² + (3 - (-2))²)
d = √((5 + 2)² + (3 + 2)²)
d = √(7² + 5²)
d = √(49 + 25)
d = √74
Therefore, the distance between the two points is √74 units, which corresponds to answer choice D.