Question 1

Solve using the method of your choice.

Accepted Answer

A)  (4, 524) 
B)  (-4, 58) 
C)  (4, 524), (-4, 58) 
D)  (4, 524), (-4, -58) 
A)  (4, 524) 
B)  (-4, 58) 
C)  (4, 524), (-4, 58) 
D)  (4, 524), (-4, -58)

Question 2

Use the following to answer questions :
y = 2xS1U1P12S1S1P0 - x - 3
-State the domain and range.

Accepted Answer

A)  x $\in$ (-$\infty$, $\infty$); y $\in$    
B)  x $\in$   ; y $\in$  (-$\infty$, $\infty$) 
C)  x $\in$  (-$\infty$, $\infty$); y $\in$   
D)  x $\in$  (-$\infty$,$\infty$); y $\in$ (-$\infty$, $\infty$) 
A)  x $\in$ (-$\infty$, $\infty$); y $\in$    
B)  x $\in$   ; y $\in$  (-$\infty$, $\infty$) 
C)  x $\in$  (-$\infty$, $\infty$); y $\in$   
D)  x $\in$  (-$\infty$,$\infty$); y $\in$ (-$\infty$, $\infty$)

Question 3

Solve the system of inequalities.

Accepted Answer

@#IMG-DLM& (Gridline

Question 4

Use the following to answer questions :
xS1U1P12S1S1P0 = 28y
-Find the vertex.

Accepted Answer

The answer of Use the following to answer questions :
xS1U1P12S1S1P0...

Question 5

Three non-colinear points are given and can be connected with line segments to form a triangle. Find the perimeter of the triangle (rounded to the nearest tenth as needed) and determine if the triangle is a right triangle. P1 = (-8, 2)
P2 = (-8, -6)
P3 = (7, 2)

Accepted Answer

A)  perimeter: 33.0; right triangle 
B)  perimeter: 40.0; not a right triangle 
C)  perimeter: 40.0; right triangle 
D)  perimeter: 33.0; not a right triangle 
A)  perimeter: 33.0; right triangle 
B)  perimeter: 40.0; not a right triangle 
C)  perimeter: 40.0; right triangle 
D)  perimeter: 33.0; not a right triangle

Question 6

Use the following to answer questions :
xS1U1P12S1S1P0 = 28y
-Find the focus.

Accepted Answer

The answer of Use the following to answer questions :
xS1U1P12S1S1P0...

Question 7

Identify each equation in the system as that of a line, parabola, circle, ellipse, or hyperbola, and solve the system by graphing.

Accepted Answer

first: par

Question 8

Use the following to answer questions :
x = -yS1U1P12S1S1P0 + 6y - 8
-Find the x- and y-intercepts, if they exist.

Accepted Answer

A)  x-intercepts: (2, 0), (4, 0); y-intercept: (0, -8) 
B)  x-intercept: (2, 0); y-intercepts: (0, -8), (0, 4) 
C)  x-intercept: (-8, 0); y-intercepts: (0, 2), (0, 4) 
D)  x-intercepts: none; y-intercept (0, -8) 
A)  x-intercepts: (2, 0), (4, 0); y-intercept: (0, -8) 
B)  x-intercept: (2, 0); y-intercepts: (0, -8), (0, 4) 
C)  x-intercept: (-8, 0); y-intercepts: (0, 2), (0, 4) 
D)  x-intercepts: none; y-intercept (0, -8)

Question 9

Use the following to answer questions :
x = 3 sin(2t); t $\in$ [0, 2?)
y = 5 cos t
-Eliminate the parameter and write the corresponding rectangular form.

Accepted Answer

The answer of Use the following to answer questions :
x...

Question 10

Sketch the graph of the ellipse.

Accepted Answer

@#IMG-DLM& (Gridline

Question 11

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points.
r = 5sin(2$\theta$ )

Accepted Answer

The answer of Sketch the polar graph using an r-value...

Question 12

Use the following to answer questions :
x = 3 sin(2t); t $\in$ [0, 2?)
y = 5 cos t
-Graph the curve defined by the parametric equations using the specified interval.

Accepted Answer

The answer of Use the following to answer questions :
x...

Question 13

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x2 + 9y2 - 40x - 18y = -73

Accepted Answer

A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these 
A)  Circle 
B)  Ellipse 
C)  Hyperbola 
D)  None of these

Question 14

Solve the system of inequalities.

Accepted Answer

A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D)  Ø 
A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D)  Ø

Question 15

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points.
r = 3sin$\theta$

Accepted Answer

The answer of Sketch the polar graph using an r-value...

Question 16

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Accepted Answer

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

Question 17

Line segments (   ) and (   ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-3, 4) B(5, -2)
C(-4, 3) D(3, 5)

Accepted Answer

A)  parallel 
B)  perpendicular 
C)  intersect 
A)  parallel 
B)  perpendicular 
C)  intersect

Question 18

A theorem from elementary geometry states: If P1 and P2 are on opposite sides of a line segment and an equal distance from the endpoints, then the line through P1 and P2 is a perpendicular bisector of the segment. Verify this is true for the segment and points shown.

Accepted Answer

First show that the conditions of the st

Question 19

Graph the hyperbola. Label the vertices.

Accepted Answer

A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.) 
A) 
 
(Gridlines are spaced one unit apart.) 
B) 
 
(Gridlines are spaced one unit apart.) 
C) 
 
(Gridlines are spaced one unit apart.) 
D) 
 
(Gridlines are spaced one unit apart.)

Question 20

Given the point (8, 7) in the XY-plane, find the coordinates of this point in the xy-plane if the angle $\beta$ between the xy-axes and the XY-axes is 30°.

Accepted Answer

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

Solve using the method of your choice.

Use the following to answer questions : y = 2x² - x - 3 -State the domain and range.

Solve the system of inequalities.

Use the following to answer questions : x² = 28y -Find the vertex.

Three non-colinear points are given and can be connected with line segments to form a triangle. Find the perimeter of the triangle (rounded to the nearest tenth as needed) and determine if the triangle is a right triangle. P₁ = (-8, 2) P₂ = (-8, -6) P₃ = (7, 2)

Use the following to answer questions : x² = 28y -Find the focus.

Identify each equation in the system as that of a line, parabola, circle, ellipse, or hyperbola, and solve the system by graphing.

Use the following to answer questions : x = -y² + 6y - 8 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : x = 3 sin(2t); t $\in$ [0, 2?) y = 5 cos t -Eliminate the parameter and write the corresponding rectangular form.

Sketch the graph of the ellipse.

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 5sin(2 $\theta$ )

Use the following to answer questions : x = 3 sin(2t); t $\in$ [0, 2?) y = 5 cos t -Graph the curve defined by the parametric equations using the specified interval.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x² + 9y² - 40x - 18y = -73

Solve the system of inequalities.

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3sin $\theta$

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Line segments ( ) and ( ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-3, 4) B(5, -2) C(-4, 3) D(3, 5)

A theorem from elementary geometry states: If P₁ and P₂ are on opposite sides of a line segment and an equal distance from the endpoints, then the line through P₁ and P₂ is a perpendicular bisector of the segment. Verify this is true for the segment and points shown.

Graph the hyperbola. Label the vertices.

Given the point (8, 7) in the XY-plane, find the coordinates of this point in the xy-plane if the angle $\beta$ between the xy-axes and the XY-axes is 30°.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Exam 9: Analytical Geometry

Solve using the method of your choice.

Use the following to answer questions : y = 2x2 - x - 3 -State the domain and range.

Solve the system of inequalities.

Use the following to answer questions : x2 = 28y -Find the vertex.

Three non-colinear points are given and can be connected with line segments to form a triangle. Find the perimeter of the triangle (rounded to the nearest tenth as needed) and determine if the triangle is a right triangle. P1 = (-8, 2) P2 = (-8, -6) P3 = (7, 2)

Use the following to answer questions : x2 = 28y -Find the focus.

Identify each equation in the system as that of a line, parabola, circle, ellipse, or hyperbola, and solve the system by graphing.

Use the following to answer questions : x = -y2 + 6y - 8 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : x = 3 sin(2t); t ∈\in∈ [0, 2?) y = 5 cos t -Eliminate the parameter and write the corresponding rectangular form.

Sketch the graph of the ellipse.

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 5sin(2 θ\thetaθ )

Use the following to answer questions : x = 3 sin(2t); t ∈\in∈ [0, 2?) y = 5 cos t -Graph the curve defined by the parametric equations using the specified interval.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x2 + 9y2 - 40x - 18y = -73

Solve the system of inequalities.

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3sin θ\thetaθ

Sketch a complete graph of the equation, including asymptotes. Be sure to identify the center and vertices.

Line segments ( ) and ( ) have the endpoints indicated. Use the slope formula to determine if the segments are parallel, perpendicular or simply intersect. A(-3, 4) B(5, -2) C(-4, 3) D(3, 5)

A theorem from elementary geometry states: If P1 and P2 are on opposite sides of a line segment and an equal distance from the endpoints, then the line through P1 and P2 is a perpendicular bisector of the segment. Verify this is true for the segment and points shown.

Graph the hyperbola. Label the vertices.

Given the point (8, 7) in the XY-plane, find the coordinates of this point in the xy-plane if the angle β\betaβ between the xy-axes and the XY-axes is 30°.

Equations and Inequalities

Relations, Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Introduction to Trigonometric Functions

Trigonometric Identities, Inverses, and Equations

Applications of Trigonometry

Systems of Equations and Inequalities

Additional Topics in Algebra

Bridges to Calculus - an Introduction to Limits

Review of Basic Concepts and Skills

Filters

Use the following to answer questions : y = 2x² - x - 3 -State the domain and range.

Use the following to answer questions : x² = 28y -Find the vertex.

Three non-colinear points are given and can be connected with line segments to form a triangle. Find the perimeter of the triangle (rounded to the nearest tenth as needed) and determine if the triangle is a right triangle. P₁ = (-8, 2) P₂ = (-8, -6) P₃ = (7, 2)

Use the following to answer questions : x² = 28y -Find the focus.

Use the following to answer questions : x = -y² + 6y - 8 -Find the x- and y-intercepts, if they exist.

Use the following to answer questions : x = 3 sin(2t); t $\in$ [0, 2?) y = 5 cos t -Eliminate the parameter and write the corresponding rectangular form.

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 5sin(2 $\theta$ )

Use the following to answer questions : x = 3 sin(2t); t $\in$ [0, 2?) y = 5 cos t -Graph the curve defined by the parametric equations using the specified interval.

Classify the equation as that of a circle, ellipse, hyperbola, or none of the above. 4x² + 9y² - 40x - 18y = -73

Sketch the polar graph using an r-value analysis (a table may help), symmetry, and any convenient points. r = 3sin $\theta$

A theorem from elementary geometry states: If P₁ and P₂ are on opposite sides of a line segment and an equal distance from the endpoints, then the line through P₁ and P₂ is a perpendicular bisector of the segment. Verify this is true for the segment and points shown.

Given the point (8, 7) in the XY-plane, find the coordinates of this point in the xy-plane if the angle $\beta$ between the xy-axes and the XY-axes is 30°.