Which graph represents the solution of x2 + 9y2 <81 and y2 + 2

Answers

Answer 1

Answer:

C on edge

Step-by-step explanation:

the guy above is correct

Answer 2

The graph that represents the given inequalities is required.

The required graph is attached.

The inequalities are

[tex]x^2+9y^2<81[/tex]

[tex]y^2+2<x[/tex]

Converting to general forms

Ellipse

[tex]\dfrac{x^2}{9^2}+\dfrac{9y^2}{9^2}<1\\\Rightarrow \dfrac{x^2}{9^2}+\dfrac{y^2}{3^2}<1[/tex]

So,

[tex]a=\pm9[/tex]

[tex]b=\pm3[/tex]

The vertices of the major axes are [tex](9,0)[/tex] and [tex](-9,0)[/tex]

The vertices of minor axes are [tex](0,3)[/tex] and [tex](0,-3)[/tex]

The center lies on the origin.

Since, the sign of the inequality is [tex]<[/tex] the shaded region will be inside the ellipse excluding the ellipse.

Parabola

[tex]x>1(y-0)^2+2[/tex]

So,

Vertex of parabola = [tex](2,0)[/tex]

Since, the square term is [tex]y^2[/tex] the axis of symmetry is the [tex]x[/tex] axis.

The parabola will open towards the positive x axis.

The shaded region is the area in the parabola excluding the parabola due to the [tex]>[/tex] sign.

Learn more:

https://brainly.com/question/24210887

Which Graph Represents The Solution Of X2 + 9y2 &lt;81 And Y2 + 2

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{4(3 + 5) - 3\times9^2}[/tex]

[tex]\mathsf{3 + 5 = \bf 8}[/tex]

[tex]\mathsf{4(8) - 3\times 9^2}[/tex]

[tex]\mathsf{4(8) = \bf 32}[/tex]

[tex]\mathsf{32 - 3\times9^2}[/tex]

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[tex]\mathsf{32 - 3\times 81 }[/tex]

[tex]\mathsf{-3\times81 =\bf -243}[/tex]

[tex]\mathsf{32 - 243}[/tex]

[tex]\mathsf{= \bf -211}[/tex]

[tex]\boxed{\huge\text{= \bf -211}}[/tex]

[tex]\boxed{\boxed{\mathsf{OVERALL\ ANSWER: \bf 4(8) - 3 \times 81 \rightarrow }\huge\text{\bf Option C}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

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