# For Exercise, write the standard form of the equation of the hyperbola subject to the given conditions. Vertices: (40, 0), (−40, 0); Foci: (41, 0), (−41, 0)

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For Exercise, write the standard form of the equation of the hyperbola subject to the given conditions.

Vertices: (40, 0), (−40, 0); Foci: (41, 0), (−41, 0)

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Step 1

To determine the standard equation of the hyperbola.

Step 2

Given:

The vertices of the hyperbola are (40, 0) and (-40, 0) and the foci of the hyperbola are (41, 0) and (-41, 0). help_outlineImage TranscriptioncloseGiven: The vertices of the hyperbola are (40, 0) and (-40, 0) and the foci of the hyperbola are (41, 0) and (-41, 0). fullscreen
Step 3

Formula Used:

The standard equation of a hyperbola with cente... help_outlineImage TranscriptioncloseFormula Used: The standard equation of a hyperbola with center (0,0), traverse along the axis is, a b? Vertices :(±a,0) Foci:(±c,0) where c = a² + b² %3D fullscreen

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### Algebra 