2.2 Circles 201 Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph. See Examples 3–5. 27. x² + y² + 6x + 8y + 9 = 0 28. x² + y2 + 8x - 6y + 16 = 0 29. x² + y2 – 4x + 12y = -4 30. x² + y² – 12x + 10y = -25 %D 31. 4x2 + 4y² + 4x - 16y - 19 = 0 32. 9x² + 9y² + 12x – 18y – 23 = 0 2 - %3D 33. x² + y? + 2x – 6y + 14 = 0 34. x² + y² + 4x – 8y + 32 = 0 %3D 35. x2 + y2 – 6x – 6y + 18 = 0 36. x² + y² + 4x + 4y + 8 = 0 37. 9x2 + 9y² – 6x + 6y – 23 = 0 38. 4x2 + 4y2 + 4x – 4y – 7 = 0 Epicenter of an Earthquake Solve each problem. To visualize the situation, use grap paper and a compass to carefully graph each circle. See Example 6. 39. Suppose that receiving stations X, Y, and Z are located on a coordinate plane at th points (7, 4), (-9, –4), and (-3,9), respectively. The epicenter of an earthquake is determined to be 5 units from 13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicent located? 40. Suppose that receiving stations P, Q, and R are located on a coordinate plane at t points (3,1), (5, -4), and (-1,4), respectively. The epicenter of an earthquake is determined to be V5 units from 6 units from 0, and 2▼10 units from R. Where on the coordinate plane is t epicenter located? 41. The locations of three receiving stations and the distances to the epicenter of earthquake are contained in the following three equations: .
2.2 Circles 201 Decide whether or not each equation has a circle as its graph. If it does, give the center and radius. If it does not, describe the graph. See Examples 3–5. 27. x² + y² + 6x + 8y + 9 = 0 28. x² + y2 + 8x - 6y + 16 = 0 29. x² + y2 – 4x + 12y = -4 30. x² + y² – 12x + 10y = -25 %D 31. 4x2 + 4y² + 4x - 16y - 19 = 0 32. 9x² + 9y² + 12x – 18y – 23 = 0 2 - %3D 33. x² + y? + 2x – 6y + 14 = 0 34. x² + y² + 4x – 8y + 32 = 0 %3D 35. x2 + y2 – 6x – 6y + 18 = 0 36. x² + y² + 4x + 4y + 8 = 0 37. 9x2 + 9y² – 6x + 6y – 23 = 0 38. 4x2 + 4y2 + 4x – 4y – 7 = 0 Epicenter of an Earthquake Solve each problem. To visualize the situation, use grap paper and a compass to carefully graph each circle. See Example 6. 39. Suppose that receiving stations X, Y, and Z are located on a coordinate plane at th points (7, 4), (-9, –4), and (-3,9), respectively. The epicenter of an earthquake is determined to be 5 units from 13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicent located? 40. Suppose that receiving stations P, Q, and R are located on a coordinate plane at t points (3,1), (5, -4), and (-1,4), respectively. The epicenter of an earthquake is determined to be V5 units from 6 units from 0, and 2▼10 units from R. Where on the coordinate plane is t epicenter located? 41. The locations of three receiving stations and the distances to the epicenter of earthquake are contained in the following three equations: .
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 25PFA
Related questions
Concept explainers
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Topic Video
Question
How would I solve problem 31? Would I divide by 4 to get x squared alone?
Transcribed Image Text:2.2 Circles
201
Decide whether or not each equation has a circle as its graph. If it does, give the center
and radius. If it does not, describe the graph. See Examples 3–5.
27. x² + y² + 6x + 8y + 9 = 0
28. x² + y2 + 8x - 6y + 16 = 0
29. x² + y2 – 4x + 12y = -4
30. x² + y² – 12x + 10y = -25
%D
31. 4x2 + 4y² + 4x - 16y - 19 = 0
32. 9x² + 9y² + 12x – 18y – 23 = 0
2 -
%3D
33. x² + y? + 2x – 6y + 14 = 0
34. x² + y² + 4x – 8y + 32 = 0
%3D
35. x2 + y2 – 6x – 6y + 18 = 0
36. x² + y² + 4x + 4y + 8 = 0
37. 9x2 + 9y² – 6x + 6y – 23 = 0
38. 4x2 + 4y2 + 4x – 4y – 7 = 0
Epicenter of an Earthquake Solve each problem. To visualize the situation, use grap
paper and a compass to carefully graph each circle. See Example 6.
39. Suppose that receiving stations X, Y, and Z are located on a coordinate plane at th
points
(7, 4), (-9, –4), and (-3,9),
respectively. The epicenter of an earthquake is determined to be 5 units from
13 units from Y, and 10 units from Z. Where on the coordinate plane is the epicent
located?
40. Suppose that receiving stations P, Q, and R are located on a coordinate plane at t
points
(3,1), (5, -4), and (-1,4),
respectively. The epicenter of an earthquake is determined to be V5 units from
6 units from 0, and 2▼10 units from R. Where on the coordinate plane is t
epicenter located?
41. The locations of three receiving stations and the distances to the epicenter of
earthquake are contained in the following three equations: .
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 4 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning