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. \(( 4.1 , - 2.3 )\)

Comprehend the make-or-buy decision process and its relevance in a manufacturing business.

Recognize common mistakes made in writing business plans, including financial commitment aspects.

Grasp the nature and limitations of projected financial statements.

Understand the role of a business plan in demonstrating a business owner's knowledge level.

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Definitions:

Socioeconomic Status

An individual's or group's position within a hierarchical social structure, determined by a combination of factors such as income, education, and occupation.

Accessibility

The ease with which people can reach or use a place, service, or information, often focused on removing barriers for all individuals, including those with disabilities.

Handguns

Firearms designed to be held and operated with one hand.

Poverty

The condition of lacking sufficient financial resources or income to meet basic needs such as food, housing, and healthcare.