Charlie jogs 3 miles south and then 4 miles west. if charlie were to jog straight home, without changing direction, how far would he have to jog?

He would to jog 5 miles to go direct to his home

Step-by-step explanation:

* Lets explain how to solve the problem

- Charlie jogs 3 miles south and then 4 miles west

- We need to know if Charlie were to jog straight home, without

 changing direction how far he have to jog

- Remember: the East-west line is perpendicular to the north-south line

∵ He jogs 3 miles south

∵ He jogs 4 miles west

∵ South ⊥ west

- We can consider that the west and east distance with the straight

 distance to home formed a right triangle its legs are the south and

 west distance and the straight distance is its hypotenuse

∴ By using Pythagoras Theorem we can find the straight distance

- Remember: In Pythagoras Theorem

 where c is the hypotenuse , a and b are the legs of the right Δ

∴ The straight distance =

∴ He would to jog 5 miles to go direct to his home

the answer is (-8,-5)

step-by-step explanation:

the endpoint to midpoint is half the length. the length is (-2,-1) so when you are at the midpoint just add it to it to find your answer -6+(-2)= -8 and -4+(-1)=-5 so (-8,-5)