far5angelcence
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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

Verified Answer :

HomertheGenius

9 x² + 16 y² =  144    / : 144  ( divide both sides by 144 )
x²/16  + y²/ 9 = 1  ( ellipse )
a² = 16,  a = 4
b² = 9,  b = 3
Answer: 
B ) ellipse;
Domain : { -4 ≤ x ≤4 }
Range: { -3 ≤ y ≤ 3 }

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