Mathematics
shelbymarie14
32

Identify the type of conic section that has the equation 9x2+ 16y2 = 144 and identify its domain and range. ellipse Domain: {–3 ≤ x ≤ 3} Range: {–4 ≤ y ≤ 4} ellipse Domain: {–4 ≤ x ≤ 4} Range: {–3 ≤ y ≤ 3} hyperbola Domain: all real numbers Range: {y ≤ –4 or y ≥ 4} hyperbola Domain: {x ≤ –4 or x ≥ 4} Range: all real numbers

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(1) Answers
petranajjar

9 x² + 16 y² = 144  /:144 [latex] \frac{ x^{2} }{16} + \frac{ y^{2} }{9} =1[/latex] General formula of ellipse ( the center is at the origin ):[latex] \frac{ x^{2} }{ a^{2} }+ \frac{ y^{2} }{ b^{2} } =1 [/latex]  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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