When two sticks are laid end-to-end they cover a length of 8.32 feet. one stick is 2.93 ft longer than the other. what is the length of the shorter stick in feet?

To solve this problem we will start by defining the length of the shortest stick as 'x'. And the magnitude of the longest stick, according to the statement as

Both cover a magnitude of 8.32 ft, therefore

Now solving for x we have,

Therefore the shorter stick is 2.695ft long.

seeing the graph would

3. dark matter

empty space could also be a simple vacuum