Consider the following. 2/3x2 - 6xy + v 3x + 3y = 0 (a) Use the discriminant to determine whether the graph of the equation is a parabola, an ellipse, or a hyperbola. o parabola o ellipse o hyperbola (b) Use a rotation of axes to eliminate the xy-term. (Write an equation in XY-coordinates. Use a rotation angle that satisfies 0 < ¢ < a/2.)

Q: Consider the following. y 2 1 -4 -3 -2 -1 1 -1 -2 Find an equation of the parabola. Find the focus…

A: Given graph of parabola,  To find it's equation, focus and directrix.

Q: d. a₁x₁ + a₂x₁ = ao

A: As per the norm, we will be answering the first question. If you need an answer to others, then…

Q: Which equation does not represent an ellipse? A B C D 4+4-1 (x + 1)² 3 (x + 1)² 3 + (v-5)² 7 (v-5)²…

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Q: What is the equation of the given ellipse? Y (-3, 2) (-1,-1.5) X

A: Graph of the ellipse is given, we have to find its equation.

Q: Consider the equation: a₁x₁ + a₂x₂ = ao, where x₁ and x₂ are variables and ao, a₁, az are nonzero…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Determine the coordinates of the vertex (label V) and focus (label F) and the EQUATION of the…

A: standard form of the parabola ( x - h )2 = -4a( y - k ) where vertex = ( h , k ) Focus = ( 0 , -a )…

Q: i: (6, –4), (–4, –4) jugate Axis is 8 units long

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Q: Lyra is designing a model of a solar system with a planet and a comet. The planet has a circular…

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