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Hyperbolas

1. A hyperbola is give by the equation x^2 - y^2=1.
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25 9

Find the points of intersection with the line y=4-x.

2. A hyperbola is represented by the equation 4x^2 -y^2+8x+4y+16=0.

Express the equation of the hyperbola in standard form.

Solution Preview

1. We plug in y=4-x in the equation, then get
x^2/25-(4-x)^2/9=1, then
9x^2-25(x-4)^2=225, ...

Solution Summary

Hyperbolas are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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