Complete the Square to Determine Whether the Equation $64 x ^ { 2 } + y ^ { 2 } + 128 x - 10 y + 73 = 0$

question 89

Essay

Complete the square to determine whether the equation $64 x ^ { 2 } + y ^ { 2 } + 128 x - 10 y + 73 = 0$ represents an ellipse, a parabola, a hyperbola, or a degenerate conic. Then sketch the graph of the equation. If the graph is an ellipse, find the center, foci, vertices, and lengths of the major and minor axes. If it is a parabola, find the vertex, focus and directrix. If it is a hyperbola, find the center, foci, vertices, and asymptotes. If the equation has no graph, explain why.

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Definitions:

Antecedents of Conflict

Factors or conditions that exist before conflict arises, which can include miscommunication, incompatible goals, or scarce resources.

Conflict Process

A sequence of events that begins with the emergence of conflict, followed by perceived or felt conflict, and potentially leading to conflict resolution or management strategies.

Conflict Management Strategy

Methods or approaches used to address and resolve conflicts in an effective and constructive manner.

Argument

is a statement or series of statements for or against something, often involving evidence and reasoning to support a position.