Find the Vertices and Asymptotes of the Hyperbola $$\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 100 } = 1$$

question 3

Multiple Choice

Find the vertices and asymptotes of the hyperbola.​ $$\frac { x ^ { 2 } } { 49 } - \frac { y ^ { 2 } } { 100 } = 1$$

• A)vertices: \(( \pm 7,0 )\) asymptote: \[y = \pm \frac { 7 } { 10 } x\]
• B)vertices: \[( 0 , \pm 7 )\] asymptote: \(y = \pm \frac { 10 } { 7 } x\)
• C)vertices: \(( \pm 7,0 )\) asymptote: \(y = \pm \frac { 10 } { 7 } x\)
• D)vertices: \(( \pm 7,10 )\) asymptote: \(y = \pm \frac { 10 } { 7 } x\)
• E)vertices: \(( 10 , \pm 7 )\) asymptote: \(y = \pm \frac { 10 } { 7 } x\)

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Definitions:

Self-Fulfilling Prophecy

A prediction that directly or indirectly causes itself to become true, due to the positive feedback between belief and behavior.

Attribution

The process by which individuals explain the causes of their own and others' behavior, typically by ascribing behavior to internal dispositions or external situations.

Primary Drive

A fundamental biological need that motivates behavior, such as hunger or thirst.

Social Identity Theory

is a psychological framework that explains how people categorize themselves and others into various social groups, impacting their behavior and attitudes.