If the Equation Represents a Hyperbola, Find the Center, Foci $$4 x ^ { 2 } + 9 y ^ { 2 } + 80 x - 108 y + 688 = 0$$

question 234

Multiple Choice

If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix.
- $$4 x ^ { 2 } + 9 y ^ { 2 } + 80 x - 108 y + 688 = 0$$

• A) C: (-10, 6); V: (-10, 9), (-10, 3); F: (-10, 8.2), (-10, 3.8)
• B) C: (-10, 6); V: (-7, 6), (-13, 6); F: (-7.8, 6), (-12.2, 6)
• C) C: (-10, 6); V: (-8, 6), (-12, 6); F: (-6.4, 6), (-13.6, 6)
• D) C: (-10,6); V: (-10, 8), (-10, 4); F: (-10, 9.6), (-10, 2.4)

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Definitions:

Exponent

A mathematical notation indicating the number of times a number, known as the base, is multiplied by itself.

Learning Curves

Theoretical models that represent the rate at which people learn and improve with experience, often leading to decreased costs and increased production efficiency over time.

Frank Lloyd Wright

An influential American architect and designer known for his innovative and groundbreaking designs in domestic architecture and his contributions to the Prairie School movement.

Experience Curves

Graphical representations that show how increasing production experience lowers the per unit cost of production over time.