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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 11: Q. 149E (page 1134)

In the following exercises, graph.
$\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$

Short Answer

Expert verified

The graph is

Step by step solution

01

Step 1. Given information

The equation is $\frac{x^{2}}{16} - \frac{y^{2}}{25} = 1$

Draw the graph.

02

Step 2. Calculation

The $x^{2} -$ term is positive, the transverse axis is horizontal.

So, $a^{2} = 16 鈬� a = 卤 4$

So, the vertices on x- axis are $(4, 0), (- 4, 0)$ .

Now, $b^{2} = 25 鈬� b = 卤 5$

The vertices on y- axis are $(0, 5), (0, - 5)$ .

So asymptote have the equations,

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

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

03

Step 3. Draw the graph.

Draw the graph using asymptote.

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Most popular questions from this chapter

In the following exercises, divide the rational expressions.

$\frac{p^{3} + q^{3}}{3 p^{2} + 3 p q + 3 q^{2}} 梅 \frac{p^{2} - q^{2}}{12}$

Factor completely, $5 x^{3} + 15 x^{2} - 20 x$

In the following exercises, add or subtract.

$\sqrt{- 75} + \sqrt{- 48}$

In the following exercises, simplify.

a. $\sqrt{48 b^{5}} - \sqrt{75 b^{5}}$

b. $8 \sqrt[3]{64 q^{6}} - 3 \sqrt[3]{125 q^{6}}$

Use the Zero Product Property in the following exercises to solve.

$(a - 3) (a + 7) = 0$

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