Question 1

Match each equation with the other equation that has the same graph.
-$y ^ { 2 } + x ^ { 2 } = 25$

Accepted Answer

A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$ 
A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$

Question 2

A line segment determined by the center and any point on the circle is called a diameter.

Accepted Answer

A) True 
 B)False

Question 3

Find the equations for the asymptotes of the hyperbola $4 x ^ { 2 } - 25 y ^ { 2 } = 16$ .

Accepted Answer

The answer of Find the equations for the asymptotes of...

Question 4

Graph the hyperbola 4 y 2 $-$ x 2 = 9.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 5

Find the equations for the asymptotes of the hyperbola $( x + 2 ) ^ { 2 } - 9 ( y + 1 ) ^ { 2 } = 27$ .

Accepted Answer

The answer of Find the equations for the asymptotes of...

Question 6

Graph the parabola. $y = 4 x ^ { 2 } + 3$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 7

Find y if the line through (2, 3) and ( 3, y ) has a slope of $- \frac { 7 } { 5 }$

Accepted Answer

The answer of Find y if the line through (2,...

Question 8

Find the length of a radius of the circle. 49 x 2 + 49 y 2 $-$ 14 x $-$ 84 y $-$ 1,825 = 0

Accepted Answer

The answer of Find the length of a radius of...

Question 9

The hyperbola $- ( x + 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$ opens vertically.

Accepted Answer

A) True 
 B)False

Question 10

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement.
-$r = 20$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$

Question 11

Match each item with the correct graph to obtain a true statement.
-ellipse

Accepted Answer

A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$ 
A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$

Question 12

Graph the parabola. $y = ( x + 2 ) ^ { 2 }$

Accepted Answer

A)    
B)    
C)    
A)    
B)    
C)

Question 13

Write the equation of the circle with center at (0, 0) and the length of a radius $r = \sqrt { 33 }$ Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Accepted Answer

The answer of Write the equation of the circle with...

Question 14

Find the slope of the line determined by the points (2, 1) and (7, -19).

Accepted Answer

A)  $-$ 4 
B)  $\frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  4 
A)  $-$ 4 
B)  $\frac { 1 } { 4 }$ 
C)  $- \frac { 1 } { 4 }$ 
D)  4

Question 15

Graph the equation. xy = 5

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 16

Write the equation of the circle with center at (3, $-$ 5) and the length of a radius r = 5. Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Accepted Answer

The answer of Write the equation of the circle with...

Question 17

Find the equations for the asymptotes of the hyperbola $36 y ^ { 2 } - 9 x ^ { 2 } = 144$ .

Accepted Answer

The answer of Find the equations for the asymptotes of...

Question 18

Identify the graph of the ellipse. 16 x  2 + y  2 = 16

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 19

Is the graph of 16 x  2 + 4 y  2 = 9 the same as the graph of 4 x  2 + 16 y  2 = 9? Please enter yes if it is true or no on the contrary.

Accepted Answer

Question 20

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement.
-$r = \sqrt { 35 }$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } = 3$ 
B)  $x ^ { 2 } + y ^ { 2 } + 14 x + 6 y + 39 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } - 12 x + 20 y + 101 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } + 24 x - 32 y = 0$

Match each equation with the other equation that has the same graph. - $y ^ { 2 } + x ^ { 2 } = 25$

A line segment determined by the center and any point on the circle is called a diameter.

Find the equations for the asymptotes of the hyperbola $4 x ^ { 2 } - 25 y ^ { 2 } = 16$ .

Graph the hyperbola 4 y 2 $-$ x 2 = 9.

Find the equations for the asymptotes of the hyperbola $( x + 2 ) ^ { 2 } - 9 ( y + 1 ) ^ { 2 } = 27$ .

Graph the parabola. $y = 4 x ^ { 2 } + 3$

Find y if the line through (2, 3) and ( 3, y ) has a slope of $- \frac { 7 } { 5 }$

Find the length of a radius of the circle. 49 x 2 + 49 y 2 $-$ 14 x $-$ 84 y $-$ 1,825 = 0

The hyperbola $- ( x + 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$ opens vertically.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = 20$

Match each item with the correct graph to obtain a true statement. -ellipse

Graph the parabola. $y = ( x + 2 ) ^ { 2 }$

Write the equation of the circle with center at (0, 0) and the length of a radius $r = \sqrt { 33 }$ Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Find the slope of the line determined by the points (2, 1) and (7, -19).

Graph the equation. xy = 5

Write the equation of the circle with center at (3, $-$ 5) and the length of a radius r = 5. Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Find the equations for the asymptotes of the hyperbola $36 y ^ { 2 } - 9 x ^ { 2 } = 144$ .

Identify the graph of the ellipse. 16 x ² + y ² = 16

Is the graph of 16 x ² + 4 y ² = 9 the same as the graph of 4 x ² + 16 y ² = 9? Please enter yes if it is true or no on the contrary.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = \sqrt { 35 }$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Match each equation with the other equation that has the same graph. - y2+x2=25y ^ { 2 } + x ^ { 2 } = 25y2+x2=25

A line segment determined by the center and any point on the circle is called a diameter.

Find the equations for the asymptotes of the hyperbola 4x2−25y2=164 x ^ { 2 } - 25 y ^ { 2 } = 164x2−25y2=16 .

Graph the hyperbola 4 y 2 −-− x 2 = 9.

Find the equations for the asymptotes of the hyperbola (x+2)2−9(y+1)2=27( x + 2 ) ^ { 2 } - 9 ( y + 1 ) ^ { 2 } = 27(x+2)2−9(y+1)2=27 .

Graph the parabola. y=4x2+3y = 4 x ^ { 2 } + 3y=4x2+3

Find y if the line through (2, 3) and ( 3, y ) has a slope of −75- \frac { 7 } { 5 }−57​

Find the length of a radius of the circle. 49 x 2 + 49 y 2 −-− 14 x −-− 84 y −-− 1,825 = 0

The hyperbola −(x+3)2+(y−8)2=9- ( x + 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9−(x+3)2+(y−8)2=9 opens vertically.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - r=20r = 20r=20

Match each item with the correct graph to obtain a true statement. -ellipse

Graph the parabola. y=(x+2)2y = ( x + 2 ) ^ { 2 }y=(x+2)2

Write the equation of the circle with center at (0, 0) and the length of a radius r=33r = \sqrt { 33 }r=33​ Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Find the slope of the line determined by the points (2, 1) and (7, -19).

Graph the equation. xy = 5

Write the equation of the circle with center at (3, −-− 5) and the length of a radius r = 5. Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Find the equations for the asymptotes of the hyperbola 36y2−9x2=14436 y ^ { 2 } - 9 x ^ { 2 } = 14436y2−9x2=144 .

Identify the graph of the ellipse. 16 x 2 + y 2 = 16

Is the graph of 16 x 2 + 4 y 2 = 9 the same as the graph of 4 x 2 + 16 y 2 = 9? Please enter yes if it is true or no on the contrary.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - r=35r = \sqrt { 35 }r=35​

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Match each equation with the other equation that has the same graph. - $y ^ { 2 } + x ^ { 2 } = 25$

Find the equations for the asymptotes of the hyperbola $4 x ^ { 2 } - 25 y ^ { 2 } = 16$ .

Graph the hyperbola 4 y 2 $-$ x 2 = 9.

Find the equations for the asymptotes of the hyperbola $( x + 2 ) ^ { 2 } - 9 ( y + 1 ) ^ { 2 } = 27$ .

Graph the parabola. $y = 4 x ^ { 2 } + 3$

Find y if the line through (2, 3) and ( 3, y ) has a slope of $- \frac { 7 } { 5 }$

Find the length of a radius of the circle. 49 x 2 + 49 y 2 $-$ 14 x $-$ 84 y $-$ 1,825 = 0

The hyperbola $- ( x + 3 ) ^ { 2 } + ( y - 8 ) ^ { 2 } = 9$ opens vertically.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = 20$

Graph the parabola. $y = ( x + 2 ) ^ { 2 }$

Write the equation of the circle with center at (0, 0) and the length of a radius $r = \sqrt { 33 }$ Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Write the equation of the circle with center at (3, $-$ 5) and the length of a radius r = 5. Express the final equation in the form x 2 + y 2 + Dx + Ex + F = 0.

Find the equations for the asymptotes of the hyperbola $36 y ^ { 2 } - 9 x ^ { 2 } = 144$ .

Identify the graph of the ellipse. 16 x ² + y ² = 16

Is the graph of 16 x ² + 4 y ² = 9 the same as the graph of 4 x ² + 16 y ² = 9? Please enter yes if it is true or no on the contrary.

Find the length of a radius of each circle. Match each of the equations with length of a radius to obtain a true statement. - $r = \sqrt { 35 }$