Awhisper room is a room that allows two people to stand on opposite sides of an elliptically shaped room and hear each other’s whispers. the locations at which they can hear one another are the foci of the ellipse. if the room has a major axis of 82 feet and a minor axis of 18 feet, how far apart, in feet are the two people? do not include a label in your answer.

they are 80 feet apart.

 see picture for solution

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions