Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)? x squared over 16 minus y squared over 4 equals 1
x squared over 12 minus y squared over 4 equals 1
y squared over 16 minus x squared over 4 equals 1
y squared over 12 minus x squared over 4 equals 1

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?