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Intermediate Algebra

OPENSTAX

$Math Studyset Vaia Explanations$ Math

OER 2017 Edition · 1346 pages

ISBN: 9780998625720

Chapter 11: Q.133 (page 1119)

In the following exercise, graph the equation $\frac{x^{2}}{25} + \frac{y^{2}}{36} = 1$

Short Answer

Expert verified

The required equation of a curve and graph is as follows

$\frac{x^{2}}{25} + \frac{y^{2}}{36} = 1$

Step by step solution

01

Step 1, Given the information

The given equation of the curve $\frac{x^{2}}{25} + \frac{y^{2}}{36} = 1$

02

Step.2 Draw the graph

The standard equation of the ellipse $\frac{x^{2}}{25} + \frac{y^{2}}{36} = 1$

since $25 < 36$ , the major axis is vertical

Therefore, $b^{2} = 25 b = \pm 5$ and $a^{2} = 36 a = \pm 6$

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