Find the distance between k(9, 2) and 1(-3, 9) to the
nearest tenth.
a) 12.5
b) 13.8
c) 13.9
d) 19.3

13.9 (Answer C)

Step-by-step explanation:

As we go from (-3, 9) to (9, 2), x increases by 12 and y decreases by 7.

Picture a triangle with base 12 and height 7,  Use the Pythagrean Theorem to find the length of the hypotenuse, which represents the distance between (-3, 9) and (9, 2):

distance = √(12² + 7²) = √(144 + 49) = √193.

To the nearest tenth, this distance is 13.9 (Answer C)