Final answer:
The length of segment JT with endpoints J at (2, -4) and T at (-6, 7) can be found using the distance formula. After calculation, the length is approximately 13.6 units, with the closest provided option being 13.5 units (Option B).
Step-by-step explanation:
To find the length of segment JT with endpoints J at (2, -4) and T at (-6, 7), we use the distance formula, which is derived from the Pythagorean theorem and is given by the equation d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points.
Substituting the values of the given points into the distance formula, we get:
d = \sqrt{(-6 - 2)^2 + (7 - (-4))^2}d = \sqrt{(-8)^2 + (11)^2}d = \sqrt{64 + 121}d = \sqrt{185}
The square root of 185 is approximately 13.6 units, which is not an option provided. However, the value that is closest to this result among the given options is 13.5 units (Option B).