Solve the Problem $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 84 } = 1$

question 63

Multiple Choice

Solve the problem.
- Radio signals emitted from points (10, 0) and (-10, 0) indicate that a plane is 8 miles closer to (10,0) than to (-10, 0) . Find an equation of the hyperbola that passes through the plane's location with foci (10, 0) and (-10, 0) . All units are in miles.
Radio signals emitted from points (0, 8) and (0, -8) indicate that a plane is 4 miles farther from (0, 8) than (0, -8) . Find an equation of the hyperbola that passes through the plane's location with foci (0,8) and (0, -8) .
From the figure, the plane is located in the fourth quadrant of the coordinate system. Solve the system of equations defining the two hyperbolas for the point of intersection in the fourth quadrant. This is the location o the plane.
Round the coordinates to the nearest tenth of a mile.

• A) a. \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 84 } = 1\) b. \(\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 60 } = 1\) c. \(( 4.1,2.3 )\)
• B) \(\mathrm { a } \cdot \frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 84 } = 1\) b. \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 60 } = 1\) c. \(( 4.1 , - 2.3 )\)
• C) a. \(\frac { y ^ { 2 } } { 16 } - \frac { x ^ { 2 } } { 84 } = 1\) b. \(\frac { x ^ { 2 } } { 4 } - \frac { y ^ { 2 } } { 60 } = 1\) c. \(( - 2.3,4.1 )\)
• D) a. \(\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 84 } = 1\) b. \(\frac { y ^ { 2 } } { 4 } - \frac { x ^ { 2 } } { 60 } = 1\) c. \(( 4.1 , - 2.3 )\)

Develop insights into the contribution of immigrants to venture capital financed companies in the U.S.

Distinguish between different statuses of individuals in the immigration process such as permanent residents, green-card recipients, and illegal immigrants.

Understand the concept and ramifications of human capital in the context of immigration.

Understand the dynamics and statistics of legal immigration in the U.S., including predominant countries of origin and the leading categories of immigrants.

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Definitions:

Oppositional Identity Formation

A process in which individuals develop identities that are in opposition to mainstream or dominant cultural norms, often in response to stigma or marginalization.

Identity Foreclosure

A stage in identity development where an individual commits to an identity without exploring other options.

Contrary Identity

An identity formed in opposition to certain norms, expectations, or identities established by society.

Ethnic Identity

A person's sense of belonging to a particular ethnic group, including aspects of culture, heritage, language, and common experiences.