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A moon's elliptical orbit around a planet is modeled by the equation 225x^2+ 900y^2 = 202,500, where distance is measured in megameters (Mm). If the planet is the center of the orbit's path, what is
the maximum distance between the planet and its moon?
45 Mm
30 Mm
26 Mm
15 Mm
PLS HELP ASAP!!

Respuesta :

sqdancefan

Answer:

 (b)  30 Mm

Step-by-step explanation:

Dividing the given equation by 202500 puts the equation of the ellipse in standard form.

  x^2/900 +y^2/225 = 1

The values 900 and 225 are the squares of the semi-major axis and the semi-minor axis, respectively. The maximum distance of the moon from the center of its orbit is √900 Mm = 30 Mm.

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