Find the Standard Form of the Equation of the Hyperbola $\frac { 4 } { 5 }$

question 105

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics.
vertices: (-10, -2) , (0, -2)
Asymptotes: y = ± $\frac { 4 } { 5 }$ x

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 0\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } + \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 5 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( y - 2 ) ^ { 2 } } { 25 } - \frac { ( x + 2 ) ^ { 2 } } { 16 } = 1\)
• E) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } - \frac { ( y + 2 ) ^ { 2 } } { 16 } = 1\)

---

Definitions:

Centrality-performance Hypothesis

A theory suggesting that the more central a person is within a network, the better their performance is likely to be due to access to resources and information.

Network Structure

The pattern of connections or relationships between entities or components within a network.

Trust-ties

Bonds of trust established between individuals or entities, facilitating cooperation, communication, and shared expectations.

Emotional

Pertaining to feelings, moods, and their effects on individual behavior and decision-making.