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pychu [463]
2 years ago
15

40 points!! What's the equation for this ellipse?

Mathematics
2 answers:
Ostrovityanka [42]2 years ago
3 0

Answer:

  (x +5)²/4 +(y +8)²/36 = 1

Step-by-step explanation:

The equation of an ellipse with center (h, k) and semi-axes "a" and "b" (where "a" is in the x-direction and "b" is in the y-direction) can be written as ...

((x -h)/a)² +((y -k)/b)² = 1

Here, the center is at (h, k) = (-5, -8), and the semi-minor axis is a=2, while the semi-major axis is b=6.

The equation can be written as ...

  ((x +5)/2)² +((y +8)/6)² = 1

More conventionally, it is written ...

  (x +5)²/4 +(y +8)²/36 = 1

prisoha [69]2 years ago
3 0

Answer:

The answer to your question is  \frac{(x + 5)^{2} }{4} + \frac{(y + 8)^{2} }{36} = 1

Step-by-step explanation:

From the graph we know that the center = (-5, -8) and a= 6 and b = 2.

See the picture below

Here, we have a vertical ellipse so the equation is

                \frac{(x - h)^{2} }{b^{2} } + \frac{(y - k)^{2} }{a^{2} } = 1

Substitution

                \frac{(x + 5)^{2} }{2^{2} } + \frac{(y + 8)^{2} }{6^{2} } = 1

                \frac{(x + 5)^{2} }{4} + \frac{(y + 8)^{2} }{36} = 1

               

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Calvin has $360 less in his savings account than he had 8 weeks ago. Each
maksim [4K]

Answer:

<u>Calvin withdraws $ 60 each week</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Calvin's account balance difference than 8 weeks ago = - $ 360

Weekly amount Calvin deposits = $ 15

Number of weeks to compare = 8

2. What was his average withdrawal  each week?

Let's calculate the weekly average withdrawal this way:

Weekly average withdrawal = [Calvin's account balance difference than 8 weeks ago - (Weekly amount Calvin deposits * Number of weeks to compare)]/Number of weeks to compare

Replacing with the values given:

Weekly average withdrawal = [-360 - (15 * 8)]/8

Weekly average withdrawal = -360 - 120 / 8

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<u>Weekly average withdrawal = -60</u>

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6 0
3 years ago
3*5-4<br> ------------------------------
exis [7]
3*5=15 
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