Chapter 11: Q. 156E (page 1134)

In the following exercises, graph.
$16 y^{2} - 25 x^{2} = 400$

Short Answer

Expert verified

The graph is

Step by step solution

Step 1. Given information

The equation is $16 y^{2} - 25 x^{2} = 400$ .

Draw the graph.

Step 2. Calculation

Divide the equation by 400 and simplify.

$\frac{16 y^{2}}{400} - \frac{25 x^{2}}{400} = \frac{400}{400} \frac{y^{2}}{25} - \frac{x^{2}}{16} = 1$

The $y^{2}$ term is positive, the transverse axis is vertical.

Here, $a^{2} = 25 \Rightarrow a = \pm 5$

So, the vertices on y- axis are $(0, 5), (0, - 5)$

Now, $b^{2} = 16 \Rightarrow b = \pm 4$

The vertices on x- axis are $(4, 0), (- 4, 0)$

So asymptote have the equations,

$y = \frac{5}{4} x$

$y = - \frac{5}{4} x$

Step 3. Draw the graph

Draw the graph using asymptotes.

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In the following exercises, graph.
$16 y^{2} - 25 x^{2} = 400$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

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In the following exercises, graph.16y2−25x2=400

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Draw the graph

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Applied Mathematics

Statistics

Discrete Mathematics

Theoretical and Mathematical Physics

Decision Maths

Study anywhere. Anytime. Across all devices.

In the following exercises, graph.
$16 y^{2} - 25 x^{2} = 400$