Write the distance y across the flat sides of a hexagonal nut as a function of r (see figure in the website below).

www.webassign.net/larpcalclim2/4-8-049.gif
y=

To find the distance y across the flat sides of a hexagonal nut as a function of r, we can use the following steps:

1. Look at the given figure at the provided website: www.webassign.net/larpcalclim2/4-8-049.gif

2. Identify the relevant information and measurements on the figure. In this case, we need to know the radius of the hexagonal nut (r) and the distance y across the flat sides.

3. Determine the relationship between y and r by examining the geometry of the hexagonal nut. In a regular hexagon, the distance across the flat sides is equal to twice the radius (y = 2r).

4. Write the expression for y in terms of r: y = 2r.

Therefore, the distance y across the flat sides of the hexagonal nut is given by the function y = 2r.