Which expression gives the length of the transverse axis of the hyperbola shown below?

As per definition of hyperbola difference between the distances of a point on hyperbola from its foci is always constant. This constant distance is equal to the distance between two vertices. Therefore, we can conclude that the difference between the distances of a point on hyperbola from its foci is equal to the length of transversal axis.

Thus, we can conclude that the length of transversal axis of the hyperbola in the given diagram is equal to the difference of the distance m and n.

Hence, length of transversal axis = m-n

Thus, the correct choice is option (c).

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^

i believe the correct answer is b.