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OLga [1]
3 years ago
5

Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at y = ±5/6x.

Mathematics
2 answers:
Ber [7]3 years ago
8 0
Standard form equation of hyperbola is:
y² / a² + x² / b² = 1
Vertices are: ( 0, a ) and ( 0, - a ) so :  a = 10
Asymptotes are : y = +/- a/b x
a/b = 5/6
10/b = 5/6
5 b = 60
b = 60 : 5
b = 12
Answer:
y² / 100 + x² / 144 = 1

Mkey [24]3 years ago
5 0

y² / 100 + x² / 144 = 1

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