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Vesnalui [34]
4 years ago
12

Please help for number 68!!

Mathematics
2 answers:
kiruha [24]4 years ago
3 0

Answer:

the answer would be F 1 mile.

Step-by-step explanation:

ch4aika [34]4 years ago
3 0

Answer:99% sure its f

Step-by-step explanation:

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Find an equation for the ellipse that satisfies the given conditions.
svetoff [14.1K]

Answer: (x^2)/25 + (16y^2)/375) = 1

Step-by-step explanation:

since foci are symetrically located on x-axis about origin, the equation of the ellipse must be of the following form:

  (x^2)/(a^2) + (y^2)/(b^2) = 1, where a = semi-major axis, and b = semi-minor axis,

and:  e = eccentricity = sqrt(a^2 - b^2)/a = 0.25;  foci located at (+/- sqrt(a^2 - b^2),0) = (+/- 1.25,0)

---> sqrt(a^2 - b^2) = 1.25 ---> 1.25/a = 0.25 ---> a = 1.25/0.25  ---> a = 5; and sqrt(a^2 - b^2) = 1.25 = 5/4

---> a^2 - b^2 = (5/4)^2 = 25/16;  or 5^2 - b^2 = 25/16 ---> 25 - b^2 = 25/16;  

---> b^2 = 25 - (25/16) = 25[1 - 1/16] = 25(15)/16 = 375/16

---> (x^2)/25 + (y^2)/(375/16) = 1 ---> (x^2)/25 + (16y^2)/375) = 1

Hope this help...and correct it's been awhile..Let me know

4 0
3 years ago
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