A. Given the following information about the hyperbola, find both its standardand general form1. FOCI: (-4, 0) (4, 0): VERTICES: (-3, 0) (3, 0)2. FOCI: (-3, -3) (-3. 13); VERTICES: (-3, 0) (-3, 10)B. Given the standard form of the equation of hyperbola, find the following, thensketch the graph.A. orientationB. opening of branohesC. genterD. transverse axisE. conjugate axisF. distance of the fociG. verticesH. fociI. co-verticesJ. asymptotes1.G+2)2.36(-1)= 149C. Convert each general form to standard form of the equation of hyperbola.1.9y - 4x - 18y + 24x - 63 = 02. 9x? – 4y? – 90x + 32y – 163 = oD. Solve and show complete solution.Two stations, located at MI.5, 0) and N(1.5, 0) (units are in km), simultaneously sendsound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signalfrom N was received by the ship four seconds before the signal it received from M, findthe equation of the curve containing the possible location of the ship.

"Since you have asked multiple questions, we will solve the first question (A) for you. If you want…

A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0); VERTICES: (-3, 0J (3, 0) 2. FOCI: (-3, -3) (-3, 13); VERTICES: (-3, 0) (-3, 10)

A. Given the following information about the hyperbola, find both its standard and general form 1. FOCI: (-4, 0) (4, 0); VERTICES: (-3, 0J (3, 0) 2. FOCI: (-3, -3) (-3, 13); VERTICES: (-3, 0) (-3, 10)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter10: Analytic Geometry

Section10.1: The Rectangular Coordinate System

Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...

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Question

A. Given the following information about the hyperbola, find both its standard
and general form
1. FOCI: (-4, 0) (4, 0): VERTICES: (-3, 0) (3, 0)
2. FOCI: (-3, -3) (-3. 13); VERTICES: (-3, 0) (-3, 10)
B. Given the standard form of the equation of hyperbola, find the following, then
sketch the graph.
A. orientation
B. opening of branohes
C. genter
D. transverse axis
E. conjugate axis
F. distance of the foci
G. vertices
H. foci
I. co-vertices
J. asymptotes
1.
G+2)
2.
36
(-1)
= 1
49
C. Convert each general form to standard form of the equation of hyperbola.
1.9y - 4x - 18y + 24x - 63 = 0
2. 9x? – 4y? – 90x + 32y – 163 = o
D. Solve and show complete solution.
Two stations, located at MI.5, 0) and N(1.5, 0) (units are in km), simultaneously send
sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal
from N was received by the ship four seconds before the signal it received from M, find
the equation of the curve containing the possible location of the ship.

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