Identify this conic section. x2 - y2 = 16 o line circle ellipse parabola hyperbola

ANSWER

Hyperbola

EXPLANATION

The given conic has equation:

We divide through by 16.

We simplify the right hand side to get

Or

This is a hyperbola, that has its vertex at the origin because the quadratic terms have different signs. One is positive and the other is negative.

hyperbola

Step-by-step explanation:

hyperbola

Ax^2+By^2+Cx+Dy+E=0

A=B you probably have a circle

A and B have same sign but A isn't B you probably have an ellipse

A and B are opposite in sign you probably have an hyperbola

If either A or B=0 (but not both) then you have a parabola

i dont know

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.