Find the Standard Form of the Equation of the Hyperbola $\text { Vertices: } ( \pm 5,0 ) \text {; asymptotes: } y = \pm 9 x$

question 7

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
$\text { Vertices: } ( \pm 5,0 ) \text {; asymptotes: } y = \pm 9 x$

• A) \(\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 2025 } = 1\)
• B)\(\frac { y ^ { 2 } } { 25 } - \frac { x ^ { 2 } } { 2025 } = 1\)
• C) \(\frac { y ^ { 2 } } { 25 } + \frac { x ^ { 2 } } { 2025 } = 1\)
• D) \(\frac { y ^ { 2 } } { 2025 } - \frac { x ^ { 2 } } { 25 } = 1\)
• E) \(\frac { x ^ { 2 } } { 25 } + \frac { y ^ { 2 } } { 2025 } = 1\)

---

Definitions:

Self-awareness

Conscious knowledge of one's own character, feelings, motives, and desires.

Social Isolation

A state where an individual lacks a sense of belonging socially, lacks engagement with others, has a minimal number of social contacts, and they are deficient in fulfilling relationships.

Feral Children

In myths and rare real-world cases, children who have had little human contact and may have lived in social isolation from a young age.

Nature Vs. Nurture

The debate concerning the relative importance of an individual's innate qualities versus personal experiences in determining or causing differences in physical and behavioral traits.