91Ó°ÊÓ

In Exercises 49-58, use a graphing utility to graph the polar equation. Describe your viewing window. $$r=-\pi / 10$$

Sketching the Graph of a Degenerate Conic In Exercises \(45 - 54\) , sketch (if possible) the graph of the degenerate conic. $$ 4 x ^ { 2 } + 4 x y + y ^ { 2 } - 1 = 0 $$

Find the angle \(\theta\) (in radians and degrees) between the lines. \(3 x-5 y=3\) \(3 x+5 y=12\)

Finding the Standard Equation of a Parabola In Exercises \(47-56\) , find the standard form of the equation of the parabola with the given characteristics. $$(-1,2) ; \text { focus: }(-1,0)$$

Finding the Standard Equation of a Parabola In Exercises \(47-56\) , find the standard form of the equation of the parabola with the given characteristics. $$(0,2) ; \text { directrix: } y=4$$

Rectangular-to-Polar Conversion In Exercises \(43-60,\) a point in rectangular coordinates is given. Convert the point to polar coordinates. $$(-\sqrt{3},-\sqrt{3})$$

Classifying a Conic from a General Equation, classify the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola. $$ 9 x^{2}+4 y^{2}-18 x+16 y-119=0 $$

Find the angle \(\theta\) (in radians and degrees) between the lines. \(0.05 x-0.03 y=0.21\) \(0.07 x+0.02 y=0.16\)

Sketching the Graph of a Degenerate Conic In Exercises \(45 - 54\) , sketch (if possible) the graph of the degenerate conic. $$ x ^ { 2 } + y ^ { 2 } + 2 x - 4 y + 5 = 0 $$

Using Eccentricity Find an equation of the ellipse with vertices \((\pm 5,0)\) and eccentricity \(e=\frac{3}{5} .\)