Write the standard form of the equation of the conic given below and then answer the 2 questions: a) What is the equation of the directrix? b) Is this a function? 10

6. a. Give the equation of the conic shown below. Equation: b. Find the two focal points and plot the foci on the graph. Foci

Which are the foci for the hyperbola modeled by the equation (X-32 (x-1)²-1? 36 13 O (1. 10) and (1,-4) O (3.8) and (3, -8) O (1.9) and (1, -3) O (-6, 0) and (6, 0)

The LORAN (LOng RAnge Navigation) radio navigation system was widely used until the 1990s when it was superseded by the GPS system. In the LORAN system, two radio stations located at A and B transmit simultaneous signals to a ship or an aircraft located at P. The onboard computer converts the time difference in receiving these signals into a distance difference |PA|-|PBI, and this, according to the definition of a hyperbola, locates the ship or aircraft on one branch of a hyperbola (see the figure). coastline 360 ml transmitting stations Suppose that station B is located 360 mi due east of station A on a coastline. A ship received the signal from B 1,100 microseconds (us) before it received the signal from A. (a) Assuming that radio signals travel at a speed of 980 ft/us, find an equation of the hyperbola on which the ship lies. (Use x as the axis along the coastline, and center your coordinate system between A and B. Values should be in miles.) (b) If the ship is due north of B, how…