Find the Vertices, Foci, and Asymptotes of the Hyperbola $x ^ { 2 } - 5 y ^ { 2 } - 10 = 0$

question 55

Essay

Find the vertices, foci, and asymptotes of the hyperbola $x ^ { 2 } - 5 y ^ { 2 } - 10 = 0$ , and sketch its graph.

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Definitions:

Periosteum

The dense layer of vascular connective tissue enveloping the bones except at the surfaces of the joints.

Nervous System

The network of nerve cells and fibers that transmits signals between different parts of the body, facilitating bodily functions and responses to the environment.

Neuritis

Inflammation of a nerve or nerves, often causing pain and loss of function.

Inflammation

A biological response to harmful stimuli, characterized by redness, heat, swelling, and pain as part of the body's effort to heal itself.