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shepuryov [24]
3 years ago
14

Find an equation for the ellipse that satisfies the given conditions.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0

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

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Adding the fractions<br><br> 3/14+2/21+1/6
NARA [144]

Answer:

\frac{10}{21}

Step-by-step explanation:

The LCM of 14, 21 and 6 is 42

We require to change the fractions to fractions with a denominator of 42

\frac{3(3)}{14(3)} + \frac{2(2)}{21(2)} + \frac{1(7)}{6(7)}

= \frac{9}{42} + \frac{4}{42} + \frac{7}{42} ← add the numerators, leaving the denominator

= \frac{9+4+7}{42}

= \frac{20}{42} ← divide both values by 2

= \frac{10}{21} ← in simplest form

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3 years ago
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MakcuM [25]
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Which is the x-intercept of the graph of the equation y=3x–9?
Vinvika [58]
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2 years ago
a rectangle has a perimeter of 34 inches the left side is 6 inches long what is the length of the top side
blsea [12.9K]

<span>P=34</span> inches<span>
a= left side=6 inches</span>

b= top side

P=2a+2b<span>

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the length of the top side is 11 inches

6 0
3 years ago
Help plz, I don't know how to find the answer
svetoff [14.1K]

9514 1404 393

Answer:

  25

Step-by-step explanation:

As always, you identify the possible relationships between the given values. Make use of those to find the unknown. Then use that value as required to answer the question(s) posed.

The triangle is isosceles, so AB = AC.

  AB = AC

  4x +1 = 2x +23

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With this value of x, we can find BC.

  BC = 3x -8

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  BC = 25 . . . . units

5 0
3 years ago
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