Write the equat1'on of the hyperbole centered at the origin, with length of the horizontal transverse axis 4 and the curve passes through the paint {3, -3]. Your mission is to track incoming meteors to predict whether or not they will strike Earth. Since Earth has a circular cross sectionr you decide to set up a coordinate system with its origin at Earth's center. The equation of Earth's surface is $2 + ya = 11158 , where x and y are distances in thousands of kilometers. Edi] You observe a meteor moving along a path from left to right whose equation is {y 1]}2 1:2 = El] _ 121 where y :2 5.5. What conic section does the oath of the meteor travel? The meteor's path is a{n] l 1r'il'hat is the center of the conic section that describes the path of the meteor?I ( . | I} Determine if the meteor will strike the earth and if it does strike the earth at what point. i H I If the meteor doesn't strike the earth then enter NAN for the coordinate. The sides of a nuclear power plant cooling tower form a hyperbole. The diameter of the bottom of the tower is 255 feet. The smallest diameter of the tower is 141 feet which is 421 feet above the ground. The tower is 53:. feet tall. Find the width of the tower at a height of 1?4 feet. feet. Two LDRAN radio stations A and B are 130 kilometers apart and send a simultaneous radio signal to a ship. GE" A B PR The signal from B arrives 0.0002 seconds before the signal from A. If the signal travels 300,000 kilometers per second, find the equation of the hyperbola on which the ship is positioned. Use a coordinate system where the origin is the midpoint between the stations, and the stations lie on the x-axis