Find the Eccentricity of the Hyperbola $$8 x ^ { 2 } - 9 y ^ { 2 } = 72$$

question 205

Multiple Choice

Find the eccentricity of the hyperbola.
- $$8 x ^ { 2 } - 9 y ^ { 2 } = 72$$

• A) \(\frac { \sqrt { 13 } } { 3 }\)
• B) \(\frac { \sqrt { 17 } } { 3 }\)
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 3 } { 2 }\)

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Definitions:

Stream Bed

The bottom of a stream or creek, where water flows and sediment is deposited, shaped by the flow of water over time.

Bounces

The action of an object or wave reflecting off a surface and changing direction.

Discharge

The volume of water that flows through a river or stream in a given amount of time, typically measured in cubic meters per second or cubic feet per second.

Runoff

Precipitation that collects and flows on the surface, such as in streams.