Find the Vertices and Asymptotes of the Hyperbola $9 y ^ { 2 } - 16 x ^ { 2 } = 144$

question 556

Multiple Choice

Find the vertices and asymptotes of the hyperbola. $9 y ^ { 2 } - 16 x ^ { 2 } = 144$

• A)vertices: (0, ±4 ) asymptote: \(y = \pm \frac { 3 } { 4 } x\)
• B)vertices: (±4, 3) asymptote: \(y = \pm \frac { 4 } { 3 } x\)
• C)vertices: (±4, 0) asymptote: \(y = \pm \frac { 4 } { 3 } x\)
• D)vertices: (±3, 0) asymptote: \(y = \pm \frac { 3 } { 4 } x\)
• E)vertices: (0, ±3) asymptote: \(y = \pm \frac { 4 } { 3 } x\)

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Definitions:

Price Level

A measure of prices in a given month or year in relation to prices in a base year.

Medium of Exchange

A mechanism or item used to facilitate trade by avoiding the limitations of barter, such as currency or digital forms of money.

MV Rises

A notation that can imply an increase in the velocity of money, which is the frequency at which one unit of currency is used to purchase domestically-produced goods and services within a given time period.

PQ Falls

This term is not sufficiently defined to provide a clear and specific definition without additional context; it could potentially relate to a concept within economics, involving a decrease in quantity (Q) and price (P).