The Position of a Sonic Boom Caused by the Faster-Than-Sound $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

question 66

Essay

The position of a sonic boom caused by the faster-than-sound aircraft is the hyperbola $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$ in the coordinate system shown. How wide is the hyperbola 2 units from its vertex?
$1 + \log _ { 4 } 9 x - \log _ { 4 } y$

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Definitions:

Positive Statements

Objective statements that can be tested, amended, or rejected by referring to the available evidence.

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A value judgment about what ought to be, expressing opinions or assertions that cannot be tested or verified.

Positive Statement

An objective statement based on factual evidence that can be tested and validated, often describing what is, rather than what ought to be.

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A branch of economics that focuses on the actions of individuals and industries, like the dynamics between buyers and sellers, borrowers and lenders.