Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Ask your questions and receive precise answers from experienced professionals across different disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)

Sagot :

Answer:

(x-1)²/49 + (y+3)²/16.51 = 1

Step-by-step explanation:

vertex (8,-3)     Foci (6.7,-3)   center (h,k) = (1,-3) , major axis parallel to x axis

a  is the distance of the vertex from the center, and c   is the distance of the foci from the center. b is semi-minor axis

b² = a² - c²         Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1

a = 8-1 = 7         c = 6.7 - 1 = 5.7

b² = 7² - 5.7² = 16.51

Ellipse equation:  (x-1)²/49 + (y- -3)²/16.51 = 1  i.e. (x-1)²/49 + (y+3)²/16.51 = 1

View image kenlingdad
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.