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dexar [7]
3 years ago
11

Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range.

Mathematics
1 answer:
Kobotan [32]3 years ago
8 0
9 x² + 16 y² = 144  /:144
\frac{ x^{2} }{16} + \frac{ y^{2} }{9} =1
General formula of ellipse ( the center is at the origin ):\frac{ x^{2} }{ a^{2} }+ \frac{ y^{2} }{ b^{2} } =1 
a² = 16,  b² = 9
Domain: [-a, a ] = [-4, 4]
Range:[-b, b ]
Answer: B ) ellipse.
Domain: { -4 ≤ x ≤ 4 }
Range: { -3 ≤ y ≤ 3 }

 
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