Modeling with Conic Sections and Polar Equations - Test Test Answers

What is the conjugate of z ?

Which point has coordinates open paren 5 comma negative 7 pi over 6 close paren ?

Which points are the vertices of the ellipse?

Which equation represents this ellipse?

Which point has coordinates open paren 5 comma negative 7 pi over 6 close paren ?

What are the coordinates of a vertex of the hyperbola?

A graphic designer creates a logo in the shape of an ellipse. The equation the fraction with numerator x squared and denominator 64 plus the fraction with numerator y squared and denominator 14 point 4 4 is equal to 1 , with units in centimeters, represents the outer edge of the logo. How tall is the logo?

A graphic designer creates a logo in the shape of an ellipse. The equation the fraction with numerator x squared and denominator 64 plus the fraction with numerator y squared and denominator 14 point 4 4 is equal to 1 , with units in centimeters, represents the outer edge of the logo. How tall is the logo?

What are the vertices of the hyperbola whose equation is the fraction with numerator open paren x plus 7 close paren squared and denominator 25 minus the fraction with numerator open paren y minus 8 close paren squared and denominator 36 is equal to 1 ?

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by open paren x minus 4 close paren squared is equal to 3 times open paren y minus 3 close paren , where x and y are measured in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?

What are the foci of the hyperbola whose equation is the fraction with numerator open paren y minus 2 close paren squared and denominator 64 minus the fraction with numerator open paren x minus 4 close paren squared and denominator 36 is equal to 1 ?

Which graph represents points on the polar curve r is equal to 2 plus 5 sine theta ?

Which graph represents the hyperbola the fraction with numerator x squared and denominator 3 squared minus the fraction with numerator y squared and denominator 8 squared is equal to 1 ?

A plane intersecting a double-napped cone is parallel to the generator. Which conic section is formed?

Convert negative 2 y squared plus x minus 4 y plus 6 is equal to 0 into standard form.

Which equation represents a hyperbola?

A plane intersecting a double-napped cone is parallel to the generator. Which conic section is formed?

What is the radius of the circle with equation open paren x plus 1 fifth close paren squared plus open paren y minus 2 fifths close paren squared is equal to 1 over 25 ?

The cable for a certain suspension bridge is modeled by a parabola with vertex open paren 0 comma 0 close paren at the center of the bridge. At a point that is 150 ft from the center of the bridge, the height of the cable is 30 ft. Which equation represents the height of the cable at a distance x feet from the center?

Convert negative 2 y squared plus x minus 4 y plus 6 is equal to 0 into standard form.

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by open paren x minus 2 close paren squared is equal to 10 times open paren y minus 3 close paren , where x and y are measured in inches. Where is the focus of the flashlight?

Which graph is represented by the equation open paren x plus 3 close paren squared plus open paren y minus 4 close paren squared is equal to 9 ?

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the origin. Where should Gabe place the bulb to ensure a perfect beam of light?

The equation open paren x plus 11 close paren squared plus open paren y minus 27 close paren squared is equal to 2 point 2 5 , with units in yards, represents a circular fountain in a park. The park entrance maps to open paren 0 comma 0 close paren If the positive x -axis represents east and the positive y -axis represents north, what is the location of the fountain relative to the park entrance?

What is the radius of the circle with equation open paren x plus 1 fifth close paren squared plus open paren y minus 2 fifths close paren squared is equal to 1 over 25 ?

Gabe is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. The vertex of the parabola is at the origin. Where should Gabe place the bulb to ensure a perfect beam of light?

Which equation represents a hyperbola?

Which graph represents the hyperbola the fraction with numerator x squared and denominator 3 squared minus the fraction with numerator y squared and denominator 8 squared is equal to 1 ?

Which graph is represented by the equation open paren x plus 3 close paren squared plus open paren y minus 4 close paren squared is equal to 9 ?

Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by open paren x minus 2 close paren squared is equal to 10 times open paren y minus 3 close paren , where x and y are measured in inches. Where is the focus of the flashlight?

Aramis is adjusting a satellite because he finds it is not focusing the incoming radio waves perfectly. The shape of his satellite can be modeled by open paren x minus 4 close paren squared is equal to 3 times open paren y minus 3 close paren , where x and y are measured in inches. He realizes that the static is a result of the feed antenna shifting slightly off the focus point. Where should the feed antenna be placed?

What are the foci of the hyperbola whose equation is the fraction with numerator open paren y minus 2 close paren squared and denominator 64 minus the fraction with numerator open paren x minus 4 close paren squared and denominator 36 is equal to 1 ?

The equation open paren x plus 11 close paren squared plus open paren y minus 27 close paren squared is equal to 2 point 2 5 , with units in yards, represents a circular fountain in a park. The park entrance maps to open paren 0 comma 0 close paren If the positive x -axis represents east and the positive y -axis represents north, what is the location of the fountain relative to the park entrance?

Convert the equation negative 9 x squared plus 25 y squared minus 100 y minus 125 is equal to 0 into standard form.

Which equation represents the rectangular form of r is equal to 4 cosine theta ?

Which equation represents the rectangular form of r is equal to 4 cosine theta ?

Which graph represents points on the polar curve r is equal to 2 plus 5 sine theta ?

What are the vertices of the hyperbola whose equation is the fraction with numerator open paren x plus 7 close paren squared and denominator 25 minus the fraction with numerator open paren y minus 8 close paren squared and denominator 36 is equal to 1 ?

For the complex number z=(5⁢sqrt(3))/(4)−(5)/(4)⁢i , what is the polar form?

For the complex number z=(5⁢sqrt(3))/(4)−(5)/(4)⁢i , what is the polar form?

Which equation represents this ellipse?

What is the conjugate of z ?

Which lines are the directrices of the ellipse?

What is the center of the hyperbola?

What is the center of the hyperbola?

Which lines are the directrices of the ellipse?

What are the coordinates of a vertex of the hyperbola?

Which points are the vertices of the ellipse?

What is the equation of the hyperbola?

What is the equation of the hyperbola?