To determine the total distance Paul will travel on his way home from Jacob's house to the grocery store and then home, we need to calculate the distances between these points based on their coordinate locations.
Assuming:
- Jacob's house is at point J (x1, y1)
- The grocery store is at point G (x2, y2)
- Paul's home is at point H (x3, y3)
The total distance \( D \) Paul will travel can be defined as the sum of the distances from Jacob's house to the grocery store and then from the grocery store to his home:
\[ D = \text{Distance from J to G} + \text{Distance from G to H} \]
The distance between two points \((x_1, y_1)\) and \((x_2, y_2)\) in a 2D plane can be calculated using the distance formula:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
You will need to follow these steps:
- Find the coordinates of Jacob's house (J), the grocery store (G), and Paul's home (H).
- Calculate the distance from Jacob's house (J) to the grocery store (G).
- Calculate the distance from the grocery store (G) to Paul's home (H).
- Sum these two distances to get the total distance Paul will travel.
If the distances are expressed in terms of \(\sqrt{17}\) in the answer options, the total distance would be calculated accordingly.
Without the actual coordinates or graph provided, I cannot compute the exact distances. If you can provide those coordinates or a description of the graph, we can find the exact numerical answer.
3 answers