Question

the graph is a two - dimensional representation of the curve a manufacturer uses to define the shape of a commercial satellite in feet. a machine is programmed to make a horizontal cut along the x - axis, trimming the sides of the satellite dish. what is the resulting width of the satellite dish, in feet? 4 ft 6 ft 8 ft 12 ft

Explanation:

Step1: Identify intersection points

The curve intersects the x - axis at (-6,0) and (6,0).

Step2: Calculate the distance

The distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d=\vert x_2 - x_1\vert$. Here, $x_1=-6$, $x_2 = 6$, so $d=\vert6-(-6)\vert=\vert6 + 6\vert=12$.

Answer:

12 ft