a.
To write: The equation for each orbit and draw the curves.
Earth:
Mars:
Mercury:
Given information:
The measures of the elliptical orbits are given in millions, the sun is at one focus and the other focus is at the positive x-axis.
Calculation:
Assume that the center of the orbit at the origin of the coordinate plane. Then, the equation of each orbit can be written as follows:
Earth:
Mars:
Mercury:
Conclusion:
The equations of Earth, Mars and Mercury’s orbits are
b.
To identify: The orbit which is more circular.
Earth orbit is more circular.
Given information:
The measures of the elliptical orbits are given in millions, the sun is at one focus and the other focus is at the positive x-axis.
Calculation:
For a circular orbit,
Earth:
Mars:
Mercury:
Since
Conclusion:
Earth orbit is more circular.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education