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MATH / A hyperbola has one of its foci at (3,2), and the vertex of the hyperbola closer to this focus is at (4,2). One of the asymptotes of the hyperbola has slope (√(2))/(2). Find the x−…

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problem

A hyperbola has one of its foci at (3,2),(3, 2), and the vertex of the hyperbola closer to this focus is at (4,2).(4, 2). One of the asymptotes of the hyperbola has slope 22.\frac{\sqrt2}{2}. Find the x−x-coordinate of the center of the hyperbola.
Plain-text mathematical notation (without MathML)
A hyperbola has one of its foci at (3,2), and the vertex of the hyperbola closer to this focus is at (4,2). One of the asymptotes of the hyperbola has slope (√(2))/(2). Find the x−coordinate of the center of the hyperbola.
Original LaTeX notation
A hyperbola has one of its foci at $(3, 2),$ and the vertex of the hyperbola closer to this focus is at $(4, 2).$ One of the asymptotes of the hyperbola has slope $\frac{\sqrt2}{2}.$ Find the $x-$coordinate of the center of the hyperbola.

level

Level 5

type

Intermediate Algebra

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Source and history

task_id
679e867c-d8d3-545c-835d-5c242e52b1eb
task_key
intermediate~5falgebra--test--679e867c-d8d3-545c-835d-5c242e52b1eb
task_revision_id
1
config / split
intermediate_algebra / test

Official source

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