Final answer:
The distance between the points C(11, -12) and D(6, 2) is calculated using the distance formula. After computing, the result is approximately 14.866, which rounds to 15. Therefore, the correct answer is (c) 15.
Step-by-step explanation:
The student asked to find the distance between the points C(11, −12) and D(6, 2). To calculate the distance between two points in a Cartesian coordinate system, we use the distance formula which is derived from the Pythagorean theorem: d = √((x2 - x1)^2 + (y2 - y1)^2).
Let's plug in our coordinates into the distance formula:
d = √((6 - 11)^2 + (2 - (-12))^2)
= √((-5)^2 + (14)^2)
= √(25 + 196)
= √221
= 14.866 (rounded to three decimal places)
The closest whole number to this result is 15, which means the correct answer is (c) 15.