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Luba_88 [7]
3 years ago
6

Write the standard equation of the ellipse with center at the origin, and vertices at (-4,0), (4,0), (0, -3), and (0,3).

Mathematics
1 answer:
levacccp [35]3 years ago
5 0

9514 1404 393

Answer:

  (a)  x^2/16 +y^2/9 = 1

Step-by-step explanation:

The form for the equation of an ellipse centered at the origin is ...

  (x/(semi-x-axis))^2 +(y/(semi-y-axis))^2 = 1

The vertex values tell you the semi-x-axis is 4 units, and the semi-y-axis is 3 units. Then you have ...

  (x/4)^2 +(y/3)^2 = 1

  x^2/16 +y^2/9 = 1

__

In case you don't remember that form, you can try any of the points in the equations. The equation that works will quickly become apparent.

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Two integers, a and b, have a greatest common factor of 1. If a =12 and b is greater than 35 but no more than 40, what is the va
yarga [219]

Answer: 37

Step-by-step explanation:

a=12

35 < b < 40

\wedge\ means\ GCF\\a\ \wedge\ b= 1\\12\ \wedge\ 37= 1\\12\ \wedge\ 38= 2\\12\ \wedge\ 39= 3\\

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In 37.2 the ones place and the tenths place is separ<br>ated by a what?​
iragen [17]

Answer:

Decimal

Step-by-step explanation:

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6 0
3 years ago
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Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two
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Answer:

The network model is attached.

Step-by-step explanation:

Total Demand from each Gas Company are:

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Northwest Gas, 400 units.

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3 0
4 years ago
Solve the inequality -4y+6&lt;-4
svet-max [94.6K]

Answer:

y = 5/2

Step-by-step explanation:

-4y+6<-4 subtract 6 from both sides

-4y + 6 - 6 < -4 - 6 = -4y < -10 since both sides are negative we multiply it by -1 and get ➡ 4y < 10

Now divide both sides by 4

4y ÷ 4 < 10 ÷ 4 ➡ y < 5/2

4 0
3 years ago
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