ka3fiac2leanah
contestada

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

Respuesta :

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

 
llgreenleafll

Answer:  B ) ellipse.

Domain: { -4 ≤ x ≤ 4 }

Range: { -3 ≤ y ≤ 3 }

Step-by-step explanation:

Otras preguntas