Which situation describes opposite quantities that when combined would equal 0.

A family rides their bike four miles do north from home. Then they ride their bike four miles due east. How far is the family from home.

The family is 4 miles north from home and then 4 miles east from that point. These are opposite directions. When combined, the family would be on the same spot as their home, so they are 0 miles from home.

To determine the distance the family is from home after riding their bike four miles due north and then four miles due east, we can use the concept of vectors to find the displacement.

1. Start by plotting the initial position of the family and the direction they ride due north for four miles.

2. Next, plot their position after riding north.

3. Then, plot their position after riding four miles due east from the new position.

4. Determine the distance from the final position to the initial position using the Pythagorean theorem.

After completing these steps, you will find that the family is back at their starting point, which means they are 0 miles away from home.