In Gabriel's village there is an electrical wire suspended between two poles across a gully.the poles are on the edges of the gully and the wire is at the same height on both sides of the gully. The curve of the wire can be modeled by the equation: h = (d - 6) + 3.

Question

When h is the height, in meters, of the wire above the floor of the gully and d is the distance, in meters, from the left-hand post.
Use the information to answer these two questions:
1. How far apart are the two poles?
2. How is this shown on the graph?

Answer 1

1. To find the distance between the two poles, we need to find the value of d when h is equal to zero. Let's set the equation h = 0 and solve for d:

0 = (d - 6) + 3
-3 = d - 6
d = 3

Therefore, the distance between the two poles is 3 meters.

2. On the graph, the distance between the two poles would be represented by the horizontal axis. The height of the wire (h) would be represented by the vertical axis. The curve of the wire would be shown increasing in height as d increases from 0 to 3, and then remaining at a constant height of 3 meters for any values of d greater than 3.