Find the Vertices and Asymptotes of the Hyperbola $\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 81 } = 1$

question 164

Multiple Choice

Find the vertices and asymptotes of the hyperbola. $\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 81 } = 1$

• A)vertices: (0, ±8) asymptote: y = ± \(\frac { 9 } { 8 }\) x
• B)vertices: (0, ±8) asymptote: y = ± \(\frac { 8 } { 9 }\) x
• C)vertices: (±8, 0) asymptote: y = ± \(\frac { 9 } { 8 }\) x
• D)vertices: (±8, 0) asymptote: y = ± \(\frac { 8 } { 9 }\) x
• E)vertices: (±8, 9) asymptote: y = ± \(\frac { 8 } { 9 }\) x

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Definitions:

Internal Factors

Elements within an individual or organization that influence behavior, decisions, and outcomes, such as beliefs, values, and personal motivation.

Social Cohesion

The bonds that bring people together in a society, fostering unity, solidarity, and a sense of belonging among its members.

Realistic Conflict Theory

A social psychology theory that suggests competition for limited resources leads to conflict between groups, resulting in increased prejudice and discrimination.

Ultimate Attribution Error

The tendency to ascribe the cause of a behavior to the dispositions of the group rather than to situational factors when evaluating behaviors of groups different from one's own.