Find the Standard Form of the Equation of the Hyperbola $( \pm 2,0 )$

question 410

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Vertices: $( \pm 2,0 )$ ; asymptotes: $y = \pm 7 x$

• A) \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 196 } = 1\)
• B) \(\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 196 } = 1\)
• C) \(\frac { y ^ { 2 } } { 4 } + \frac { x ^ { 2 } } { 196 } = 1\)
• D) \(\frac { y ^ { 2 } } { 196 } - \frac { x ^ { 2 } } { 4 } = 1\)
• E) \(\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 196 } = 1\)

Recognize the ecological and economic impacts of human activities on water bodies.

Understand the methods and challenges of desalination.

Identify sustainable practices for water usage.

Comprehend the relationship between land use changes and water flow dynamics.

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