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Use a Graphing Utility to Graph the Conic θ\theta Through Which the Axes Are Rotated

Question 8

Multiple Choice

Use a graphing utility to graph the conic.Determine the angle θ\theta through which the axes are rotated.​ x2+2xy+y2=25x ^ { 2 } + 2 x y + y ^ { 2 } = 25


A) θ=π4 or 45\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ } , y=x±25y = - x \pm \sqrt { 25 }  Use a graphing utility to graph the conic.Determine the angle  \theta  through which the axes are rotated.​  x ^ { 2 } + 2 x y + y ^ { 2 } = 25  ​ A)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    B)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    C)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    D)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    E)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }
B) θ=π4 or 45\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ } , y=x±25y = - x \pm \sqrt { 25 }  Use a graphing utility to graph the conic.Determine the angle  \theta  through which the axes are rotated.​  x ^ { 2 } + 2 x y + y ^ { 2 } = 25  ​ A)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    B)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    C)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    D)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    E)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }
C) θ=π4 or 45\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ } , y=x±25y = - x \pm \sqrt { 25 }  Use a graphing utility to graph the conic.Determine the angle  \theta  through which the axes are rotated.​  x ^ { 2 } + 2 x y + y ^ { 2 } = 25  ​ A)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    B)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    C)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    D)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    E)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }
D) θ=π4 or 45\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ } , y=x±25y = - x \pm \sqrt { 25 }  Use a graphing utility to graph the conic.Determine the angle  \theta  through which the axes are rotated.​  x ^ { 2 } + 2 x y + y ^ { 2 } = 25  ​ A)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    B)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    C)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    D)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    E)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }
E) θ=π4 or 45\theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ } , y=x±25y = - x \pm \sqrt { 25 }  Use a graphing utility to graph the conic.Determine the angle  \theta  through which the axes are rotated.​  x ^ { 2 } + 2 x y + y ^ { 2 } = 25  ​ A)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    B)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    C)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    D)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }    E)   \theta = \frac { \pi } { 4 } \text { or } 45 ^ { \circ }  ,  y = - x \pm \sqrt { 25 }

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