The tables each show distance traveled over time of four different vehicles. which table represents a linear relationship? time (hours) 2 6 7 10 14 distance (miles) 140 360 415 580 800 time (hours) 1 5 9 13 17 distance (miles) 55 110 165 210 255 time (hours) 2 4 6 8 10 distance (miles) 24 56 96 144 200 time (hours) 1 2 3 4 5 distance (miles) 3 9 27 81 243

The Pythagorean theorem is a proof that in any right triangle, if you square both of the lengths of the legs and add them (A^2+B^2) it will always equal the length of the hypotenuse squared (C^2).

Lets say you have a right triangle with the lengths of the legs being 3 and 4 and you need to find the hypotenuse with side length c. well 3^2+4^2=c^2 so

9+16=c^2, thus c^2 =25 and c=5.