Homework Help is Here – Start Your Trial Now!
Math
Geometry
-2 -1 -2 -4

-2 -1 -2 -4

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
See similar textbooks
icon
Related questions
Question
a.) what kind of line ZB intersects the smaller circle a secant or tangent b.) if tangent name the point of tangency c.) write the equation of this line
The image consists of a graph with two circles depicted on the Cartesian plane. Below is a detailed description and transcription suitable for an educational website. --- ### Cartesian Plane with Two Circles #### Description of the Graph - **Axes:** The graph features the \( x \)-axis and \( y \)-axis intersecting at the origin \((0,0)\). - **Grid:** The plane is divided into a grid with each line representing integer values along both axes. #### Features on the Graph 1. **Large Circle:** - **Center:** Point \( P \). - **Coordinates of \( P \):** \((-2, 1)\). - **Radius:** 3 units. - The circle passes through the points \((-5, 1)\), \((-2, 4)\), and \((-2, -2)\), where each of these points is 3 units away from \( P \). 2. **Small Circle:** - **Center:** Point \( Z \). - **Coordinates of \( Z \):** \( (2, -3)\). - **Radius:** 1 unit. - The circle touches the points \((2, -4)\), \((1, -3)\), \((3, -3)\), and \((2, -2)\). #### Labels on the Graph - **Points:** - Point \( A \) is labeled on the negative side of the \( x \)-axis (approximately at \(-5,0\)). - Point \( B \) is labeled on the positive side of the \( x \)-axis (at \(5,0\)). - Point \( C \) is labeled on the positive side of the \( y \)-axis (at \(0,5\)). - **Axes:** - Arrows are drawn at the ends of both axes indicating the positive and negative directions. This graph effectively demonstrates the relationship between circle geometry and the Cartesian coordinate system. The centers of both circles are identified and their respective radii allow for visualization of key concepts in coordinate geometry.
Transcribed Image Text:The image consists of a graph with two circles depicted on the Cartesian plane. Below is a detailed description and transcription suitable for an educational website. --- ### Cartesian Plane with Two Circles #### Description of the Graph - **Axes:** The graph features the \( x \)-axis and \( y \)-axis intersecting at the origin \((0,0)\). - **Grid:** The plane is divided into a grid with each line representing integer values along both axes. #### Features on the Graph 1. **Large Circle:** - **Center:** Point \( P \). - **Coordinates of \( P \):** \((-2, 1)\). - **Radius:** 3 units. - The circle passes through the points \((-5, 1)\), \((-2, 4)\), and \((-2, -2)\), where each of these points is 3 units away from \( P \). 2. **Small Circle:** - **Center:** Point \( Z \). - **Coordinates of \( Z \):** \( (2, -3)\). - **Radius:** 1 unit. - The circle touches the points \((2, -4)\), \((1, -3)\), \((3, -3)\), and \((2, -2)\). #### Labels on the Graph - **Points:** - Point \( A \) is labeled on the negative side of the \( x \)-axis (approximately at \(-5,0\)). - Point \( B \) is labeled on the positive side of the \( x \)-axis (at \(5,0\)). - Point \( C \) is labeled on the positive side of the \( y \)-axis (at \(0,5\)). - **Axes:** - Arrows are drawn at the ends of both axes indicating the positive and negative directions. This graph effectively demonstrates the relationship between circle geometry and the Cartesian coordinate system. The centers of both circles are identified and their respective radii allow for visualization of key concepts in coordinate geometry.
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Pythagoras' Theorem
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS