Question

: Graph the equations shown below, the graph is scaled to 10 high and 10 wide.

X^2 y^2
----- + ------ = 1
64 36


x^2 y^2
----- - ------- = 1
64 36

x^2 y^2
---- - ------ = 1
100 64


x^2 y^2
----- + ------ = 1
100 64

Answer 1

Answer on Question #57350 – Math – Analytic Geometry

Question

Graph the equations shown below, the graph is scaled to 10 high and 10 wide.

$$\frac {x ^ {2}}{6 4} + \frac {y ^ {2}}{3 6} = 1$$ $$\frac {x ^ {2}}{6 4} - \frac {y ^ {2}}{3 6} = 1$$ $$\frac {x ^ {2}}{1 0 0} - \frac {y ^ {2}}{6 4} = 1$$ $$\frac {x ^ {2}}{1 0 0} + \frac {y ^ {2}}{6 4} = 1$$

Solution

1. $\frac{x^2}{64} + \frac{y^2}{36} = 1$

is the equation of ellipse with the semi-major axis $a = \sqrt{64} = 8$, and the semi-minor axis $b = \sqrt{36} = 6$. Then we graph it:

2. $\frac{x^2}{64} - \frac{y^2}{36} = 1$

is the equation of hyperbola with the semi-major axis $a = \sqrt{64} = 8$ , and the conjugate axis $2b = 2\sqrt{36} = 12$ . Then we graph it:

3.

$$\frac {x ^ {2}}{1 0 0} - \frac {y ^ {2}}{6 4} = 1$$

is the equation of hyperbola with the semi-major axis $a = \sqrt{100} = 10$ , and the conjugate axis $2b = 2\sqrt{64} = 16$ . Then we graph it:

4.

$$\frac {x ^ {2}}{1 0 0} + \frac {y ^ {2}}{6 4} = 1$$

is the equation of ellipse with the semi-major axis $a = \sqrt{100} = 10$ , and the semi-minor axis $b = \sqrt{64} = 8$ . Then we graph it:

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