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Enter the positiveacute angle 0 necessary to convert the equation and eliminate the xy-term. You may write the angle in either radians or degrees.Round your answer to four decimal places, as necessary.

Enter the positiveacute angle 0 necessary to convert the equation and eliminate the xyterm You may write the angle in either radians or degreesRound your answer class=

Respuesta :

Given:

[tex]-3\sqrt{3}x^2-21xy+4y^2-8x-4y+9=0[/tex]

Required:

We have to find the acute angle

Explanation:

First of all compare our equation with

[tex]ax^2+bxy+cy^2+dx+ey+f=0[/tex]

now to find the angle

[tex]\begin{gathered} cot2\emptyset=\frac{a-c}{b} \\ cot2\emptyset=\frac{-3\sqrt{3}-4}{-21} \\ cot2\emptyset=0.438 \\ 2\emptyset=66,3456 \\ \emptyset=33.1728\degree \end{gathered}[/tex]

Final Answer:

acute angle is 33.1728 degree

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