Question

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.

Answer 1

Given:

`-3√(3)x^2-21xy+4y^2-8x-4y+9=0`

Required:

We have to find the acute angle

Step-by-step explanation:

First of all compare our equation with

`ax^2+bxy+cy^2+dx+ey+f=0`

now to find the angle

`\begin{gathered} cot2\emptyset=(a-c)/(b) \\ cot2\emptyset=(-3√(3)-4)/(-21) \\ cot2\emptyset=0.438 \\ 2\emptyset=66,3456 \\ \emptyset=33.1728\degree \end{gathered}`

Final Answer:

acute angle is 33.1728 degree