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Chapter 11: Q. 183 (page 1135)

In the following exercises, graph each equation.

16x2+9y2=144

Short Answer

Expert verified

Graph of the conic represented by the equation is an ellipse.

Step by step solution

01

Step 1. Standard form of the equation,

16x2+9y2=14416x2+9y2144=144144x29+y216=1x232+y242=1

02

Step 2. Key features of the graph,

Equation of the ellipse

Center of the ellipse 鈫�(0,0)

Since, b>a,

Ellipse will be vertical.

a2=9鈬�a=卤3b2=16鈬�b=卤4

Therefore, endpoints of the axes are,

Endpoints of the horizontal axis鈫�(-3,0),(3,0)

Endpoints of the vertical axisrole="math" localid="1645632245020" 鈫�(0,-4),(0,4)

03

Step 3. Graph the equation

Graph of the equation will be,

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