Homework Help is Here – Start Your Trial Now!
Math
Geometry
A circle has center (5, -4) and radius 8. Which gives the equation for the circle? O A. (K + 5)2 + (y – 4)² = 8 O B. (x- 5)2 + (y + 4)2 = 8 O C. * + 5)2 + v – 4)2 = 64 O D. (x- 5)2 + (v + 4)² = 64

A circle has center (5, -4) and radius 8. Which gives the equation for the circle? O A. (K + 5)2 + (y – 4)² = 8 O B. (x- 5)2 + (y + 4)2 = 8 O C. * + 5)2 + v – 4)2 = 64 O D. (x- 5)2 + (v + 4)² = 64

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
**Question:** Which angles are congruent to ∠3? **Diagram Explanation:** The diagram shows two parallel lines intersected by a transversal line. The intersection creates eight numbered angles. Specifically, angles 1 through 4 are formed at the intersection of the transversal with the first parallel line, and angles 5 through 8 are formed at the intersection with the second parallel line. **Answer Choices:** A. ∠2 B. ∠2, ∠6 C. ∠6 D. ∠2, ∠6, ∠7 **Explanation:** To find which angles are congruent to ∠3, we apply the properties of parallel lines and transversals. Congruent angles could include corresponding angles, alternate interior angles, or vertical angles.
Transcribed Image Text:**Question:** Which angles are congruent to ∠3? **Diagram Explanation:** The diagram shows two parallel lines intersected by a transversal line. The intersection creates eight numbered angles. Specifically, angles 1 through 4 are formed at the intersection of the transversal with the first parallel line, and angles 5 through 8 are formed at the intersection with the second parallel line. **Answer Choices:** A. ∠2 B. ∠2, ∠6 C. ∠6 D. ∠2, ∠6, ∠7 **Explanation:** To find which angles are congruent to ∠3, we apply the properties of parallel lines and transversals. Congruent angles could include corresponding angles, alternate interior angles, or vertical angles.
**Circle Equation Identification Exercise** **Question:** A circle has center (5, –4) and radius 8. Which gives the equation for the circle? **Options:** - A. \((x + 5)^2 + (y - 4)^2 = 8\) - B. \((x - 5)^2 + (y + 4)^2 = 8\) - C. \((x + 5)^2 + (y - 4)^2 = 64\) - D. \((x - 5)^2 + (y + 4)^2 = 64\) **Explanation:** The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Given the center \((5, -4)\), we substitute \(h = 5\) and \(k = -4\). The radius is 8, hence \(r^2 = 64\). Substituting these values into the standard form equation, we get: \[ (x - 5)^2 + (y + 4)^2 = 64 \] Therefore, the correct answer is: **Option D: \((x - 5)^2 + (y + 4)^2 = 64\)**.
Transcribed Image Text:**Circle Equation Identification Exercise** **Question:** A circle has center (5, –4) and radius 8. Which gives the equation for the circle? **Options:** - A. \((x + 5)^2 + (y - 4)^2 = 8\) - B. \((x - 5)^2 + (y + 4)^2 = 8\) - C. \((x + 5)^2 + (y - 4)^2 = 64\) - D. \((x - 5)^2 + (y + 4)^2 = 64\) **Explanation:** The standard form of the equation of a circle with center \((h, k)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 = r^2 \] Given the center \((5, -4)\), we substitute \(h = 5\) and \(k = -4\). The radius is 8, hence \(r^2 = 64\). Substituting these values into the standard form equation, we get: \[ (x - 5)^2 + (y + 4)^2 = 64 \] Therefore, the correct answer is: **Option D: \((x - 5)^2 + (y + 4)^2 = 64\)**.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Equations
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