Algebra: Ellipses and Circles
Not what you're looking for?
1. Find the center of the ellipse given by 64x2 + 4y2 + 128x - 80y +208 = 0
2. Find the radius of the circle defined by x22 + y2 - 6x -16y = 48
3. The distance between the foci of the ellipse defined by 9(x + 6)2 + 25(y - 15)2 = 225
4. What is the coefficient of x3 in the expansion of (2+ x)5
Purchase this Solution
Solution Summary
Ellipses and circles are analyzed to find radii and distance between foci.
Solution Preview
Please see the attached file for the full solution.
Thanks for using BrainMass.
1. Find the center of the ellipse given by 64x2 + 4y2 + 128x - 80y +208 = 0
We can rewrite the function into:
64(x2+2x+1)-64+ 4(y2- 20y+100)-400+208= 0
64(x+1)2+ 4(y-10) 2=256
(x-(-1))2/4+ (y-10) 2/64=1
then the center of the ellipse is (-1, 10)
and for the ellipse, a=8 and b=2
2. Find the radius of the circle defined by x2 + y2 - 6x -16y = 48
We can rewrite the function ...
Purchase this Solution
Free BrainMass Quizzes
Probability Quiz
Some questions on probability
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.