Solve the Problem $44 \mathrm {~cm}$ Apart the Distance of the Vertex from One Focus Is

question 10

Multiple Choice

Solve the problem.
-For a hyperbolic mirror the two foci are $44 \mathrm {~cm}$ apart. The distance of the vertex from one focus is 10 $\mathrm { cm }$ and from the other focus is $34 \mathrm {~cm}$ . Position a coordinate system with the origin at the center of the hyperbola and with the foci on the $y$ -axis. Find the equation of the hyperbola.

• A) \(\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 340 } = 1\)
• B) \(\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 340 } = 1\)
• C) \(\frac { y ^ { 2 } } { 144 } - \frac { x ^ { 2 } } { 340 } = 5\)
• D) \(\frac { x ^ { 2 } } { 144 } - \frac { y ^ { 2 } } { 340 } = 5\)

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Definitions:

Correlation Coefficient

A statistical measure that indicates the extent to which two variables fluctuate together, ranging from -1 (perfect negative correlation) to +1 (perfect positive correlation).

Alternate Forms Reliability

The extent to which two versions of a test are consistent in their measurements across the same group of individuals.

Test-Retest Reliability

The consistency of an individual's score on the same test administered at two different times.

Validity

The extent to which a test, tool, or method accurately measures what it is intended to measure.