Question 1

Find the vertex of the parabola with equation  - 14y - 24x + 25 = 0.

Accepted Answer

The answer of Find the vertex of the parabola with...

Question 2

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 3

Graph the hyperbola.

Accepted Answer

The answer of Graph the hyperbola. ...

Question 4

Solve the system of equations by applying the elimination method.

Accepted Answer

A)  (4, 4) 
B)  (-4, -4) 
C)  infinite number of solutions 
D)  no solution

Question 5

Graph each equation and find the point(s) of intersection.

Accepted Answer

The answer of Graph each equation and find the point(s)...

Question 6

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly 3 units from the point (14, -20).

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 7

Find the standard form of the hyperbola with the following equation.25 - 4 - 50x + 40y - 175 = 0

Accepted Answer

The answer of Find the standard form of the hyperbola...

Question 8

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 9

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points equidistant from the point (20, -12) and the line

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 10

Find the standard form of the equation of the ellipse with the given graph.

Accepted Answer

The answer of Find the standard form of the equation...

Question 11

The difference of two numbers is 77 and the difference of their squares is 5,159. Find the numbers.

Accepted Answer

The answer of The difference of two numbers is 77...

Question 12

Write an equation for the parabola in general form.

Accepted Answer

The answer of Write an equation for the parabola in...

Question 13

Find the general equation of the hyperbola from the given graph.

Accepted Answer

The answer of Find the general equation of the hyperbola...

Question 14

Find an equation for the parabola with focus (8, -2) and directrix y = 4.

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Solve the system of equations by apply any method.

Accepted Answer

A)  (3, 3), (-3, -3) 
B)  (3, 3) 
C)  (3, 0) 
D)  no solution

Question 16

Match the ellipse to the equation.

Accepted Answer

A)   
B)   
C)   
D)

Question 17

Graph each equation and find the point(s) of intersection.

Accepted Answer

A)  (8, 0), (0, -8) 
B)  (0, 8), (-8, 0) 
C)  (0, 8) 
D)  no solution

Question 18

Find the standard form of the equation of an ellipse with foci (-2, 0) and  and vertices  and

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-5, 9) plus the distance from the point  is exactly 8 units.

Accepted Answer

A)  parabola 
B)  ellipse 
C)  circle 
D)  hyperbola

Question 20

Find the focus of the parabola with equation  = 24( y - 8).

Accepted Answer

The answer of Find the focus of the parabola with...

Exam 8: Conics and Systems of Nonlinear Equations and Inequalities

Find the vertex of the parabola with equation - 14y - 24x + 25 = 0.

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Graph the hyperbola.

Solve the system of equations by applying the elimination method.

Graph each equation and find the point(s) of intersection.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points exactly 3 units from the point (14, -20) .

Find the standard form of the hyperbola with the following equation.25 - 4 - 50x + 40y - 175 = 0

Identify the conic section given by the following equation as a parabola, ellipse, circle, or hyperbola.

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points equidistant from the point (20, -12) and the line

Find the standard form of the equation of the ellipse with the given graph.

The difference of two numbers is 77 and the difference of their squares is 5,159. Find the numbers.

Write an equation for the parabola in general form.

Find the general equation of the hyperbola from the given graph.

Find an equation for the parabola with focus (8, -2) and directrix y = 4.

Solve the system of equations by apply any method.

Match the ellipse to the equation.

Graph each equation and find the point(s) of intersection.

Find the standard form of the equation of an ellipse with foci (-2, 0) and and vertices and

Identify the conic section as a parabola, ellipse, circle, or hyperbola:The set of all points whose distance from the point (-5, 9) plus the distance from the point is exactly 8 units.

Find the focus of the parabola with equation = 24( y - 8).