Respuesta :
Answer: for Plato: A. (-20,2) and (48,2)
Step-by-step explanation:
The foci of the given hyperbola are represented by the equation (x-14)²/16²-(y-2)²/30² will be ( 48, 2) and ( -20, 2).
What is hyperbola?
A hyperbola is a significant conic section in mathematics that is created by the intersection of a double cone with a plane surface, though not always at the center it's not necessary.
A hyperbola is homogeneous along its perpendicular axis and resembles the elliptical in many ways.
A hyperbola is susceptible to concepts like foci, directrix, rectus, and eccentricity. Hyperbola that is commonly seen includes the path taken and the scattering trajectory of particles.
Given that the hyperbola
(x-14)²/16²-(y-2)²/30² so a = 16 and b = 30.
Since c = √(a²+b²)
c = √(1156 = 34.
So the first foci will be ( h +c, k) and ( h -c,k).
So first foci will be ( 48, 2) and the second will be ( -20, 2).
For more about the hyperbola
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