Adog walks 6 m to his food bowl and then turns right and walks 8 meters to his doghouse. if the dogs final position is due east of his initial position, what is the displacement of the dog?

Remember, displacement is the distance between his starting and finishing points.
If you draw this out, you will end up making a triangle. One side is the 6 meters to his bowl, the adjacent side is the 8 meters to his doghouse, and what you are trying to find is the missing side, which happens to be the hypotenuse.
Use the Pythagorean Theorem:
6^2+8^2=x^2
36+64=x^2
100=x^2
Take the square root of both sides, or just think 'what times itself equals 100?'
x=10

Sorry i don’t know what to do

Which principle states: "geologic processes taking place on earth today operated similarly in the past and can be used to explain past geologic events"? a. lateral continuity