Practice Test Answers

Point cap z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z ?

Which lines best approximate the directrices of the ellipse? Round to the nearest tenth.

Which equation represents the rectangular form of theta is equal to 5 pi over 6 ?

Which equation represents circle cap A ?

A mirror has a parabolic surface defined by the equation y is equal to 1 over 24 x squared with the vertex open paren 0 comma 0 close paren at the center of the mirror. When the width of the mirror is 8 inches, what is the depth, y , of the mirror?

Which equation represents this ellipse?

Consider the polar curve r is equal to 4 sine 2 theta What is the length of each petal, and how many petals does the graph have?

Which is the equation of an asymptote of the hyperbola whose equation is the fraction with numerator open paren x minus 2 close paren squared and denominator 4 minus the fraction with numerator open paren y minus 1 close paren squared and denominator 36 is equal to 1 ?

Convert 9 x squared plus 4 y squared minus 54 x minus 8 y minus 59 is equal to 0 into standard form.

What is the positive slope of the asymptote of the fraction with numerator open paren y plus 11 close paren squared and denominator 100 minus the fraction with numerator open paren x minus 6 close paren squared and denominator 4 is equal to 1 ?

Samara is adjusting a satellite because she finds it is not focusing the incoming radio waves perfectly. The shape of her satellite can be modeled by open paren y minus 3 close paren squared is equal to 8 times open paren x minus 4 close paren where x and y are measured in inches. She realizes that the static is a result of the feed antenna shifting slightly off the focus point. What is the focus point of the satellite?

Which image shows a plane slicing a double-napped cone to produce a hyperbola?

One focus of a hyperbola is located at open paren negative 1 comma 7 close paren One vertex of the hyperbola is located at open paren negative 1 comma 5 close paren The center is open paren negative 1 comma negative 3 close paren What is the equation of the hyperbola?

Which conic section is represented by the following equation? negative 5 x squared plus 9 x y plus 5 y squared plus 6 x minus 4 y plus 11 is equal to 0

What are the conjugate and modulus of negative 14 minus 2 i ?

A pair of listening posts are 4 comma 000 ft apart. They both pick up a sound, but one listening post records the sound 1 point 5 seconds after the other listening post. The sound is d sub 1 feet from the first listening post and d sub 2 feet from the second listening post. Assume sound travels at 1 comma 100 ft/s. Which equation of a hyperbola can be used to determine possible locations of the origin of the sound? Note that start absolute value d sub 2 minus d sub 1 end absolute value is equal to 2 A

What is the diameter of a circle with the equation open paren x minus 4 close paren squared plus open paren y plus 6 close paren squared is equal to 64 ?

Which equation represents the rectangular form of r is equal to 8 ?

Which features describe the graph of the fraction with numerator y squared and denominator 96 squared minus the fraction with numerator x squared and denominator 40 squared is equal to 1 ? Choose two correct answers.

Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each piece of fabric according to the equation x squared plus y squared is equal to 100 with units in inches. Based on this equation, what is the diameter of the cushion?

The equation the fraction with numerator y squared and denominator 100 plus the fraction with numerator x squared and denominator 4 is equal to 1 represents an ellipse. Which points are the vertices of the ellipse?

Which conic section is represented by the following equation? negative 5 x squared plus 10 x y minus 5 y squared plus 2 x minus y plus 4 is equal to 0

Which statements about the hyperbola are true? Choose three correct answers.

Gabriella 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 y plus 3 close paren squared is equal to 26 times open paren x minus 2 close paren where x and y are measured in inches. Where should she place the bulb to ensure a perfect beam of light?

She identified the conic as a circle with a center open paren 4 comma negative 2 close paren and a radius r is equal to 4 What error, if any, did Mariah make?

Which graph represents points on the polar curve r is equal to negative 4 sine 3 theta ?

Which graph shows the conjugate of z ?

Which is the standard form of the equation of the parabola that has a vertex of open paren negative 4 comma negative 3 close paren and a directrix of x is equal to 2 ?

Which is the standard form of the equation of the parabola shown in the graph?

What is the length of the transverse axis?

What is the polar form of z ?

Which point represents 4 square root of 2 open paren cosine of open paren 5 pi over 4 close paren plus i sine open paren 5 pi over 4 close paren close paren ?

What is the equation for the hyperbola shown?