Draw the Graphs for Three Equations and Find a Common Point

Using first two equations determine 3 possible points that the 2 conic sections that you get from equations meet. Add a third equation figure to out the one point that all three conic sections meet.

First equation is 9(x-squared)+25(y-squared)-72x=81
Second equation is 9(x-squared)-15(y-squared)=9

Graph these two conical sections and let us know how you get the graphs with such things as vertex and foci. Show three common points of these two conical sections. Then add the third equation:12x+6y=-12 and determine one point that all three conical sections share. Please go in to the basics of how to make these graphs from the equations.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

From equation (1): , we get , then we have . Thus it is an ellipse with ...

Solution Summary

Three graphs are drawn and their common point is found. Details are given as to how to how the draw the graphs and how to find vertices, foci and directrices. The drawing of the graph with all three equations is shown.

...points (1, 2) and (3, 3) = (3 2)/(3 1) = ½ ... For graphing, first replace the less than sign by equal ...Draw the horizontal line y = 7 and make it dotted as ...

... x y In exercises 25 and 26, use the concept of slope to draw a line perpendicular to ... 4. NOTE The slope of the given 3. ... 4 632 CHAPTER 7 GRAPHING AND INEQUALITIES. ...

... For your benefit, I am drawing the graph here. ... e) Graph the hyperbola, the line, and the points of the asymptotes ... is translated according to ((x,y)arrow(x-3, y+1 ...

... be found here [1] . I do not have such graphing tools so ... The expert draws a root locus and finding the dominant roots/. ... P(s ) = s 2 (s + 9 ) + K (s + 1) = 0 {3}. ...

... 1 4. Solve the following system of linear inequalities by graphing. x + 2y ≤ 3 2x 3y ≤ 6 First draw the two ... of equation, 19 x − 15 x − 3 x = 0.615 ...

... 11. Graph the absolute value inequalities. ... inequalities: x + 2 y < −6 or x + 2y > 6 So first draw the two ... 6 and x + 2 y = 6 Using (-6, 0) and (0, -3) to draw...

...Draw a picture, show all work, and find the solution. ... 2000. 0 0 1 2 3 4 5. ... A. Give a brief explanation describing the graph in terms of its x-axis and y-axis. ...

... below) shows the relationship between r and V when R = 3. Use the graph to estimate ... Draw a horizontal line from V = 100, it intersects with the blue curve. ...