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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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Answer: try question cove just saying

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3 years ago
Which of the following terms best describes a comparison of two numbers?
Yakvenalex [24]

Answer:

a ratio is a comparison between two numbers.

Step-by-step explanation:

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6 0
3 years ago
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Samantha is using a 2-liter pitcher to serve lemonade to 10 of her friends. How many times will she need to fill the pitcher in
Mice21 [21]

Answer: 2 times

Step-by-step explanation:

Hi, since 1000 milliliters = 1 liter

We have to convert the 2 liters into milliliters:

2 x 1000 = 2000 milliliters, so she is using a 2,000 milliliters pincher.

Now we have to multiply the number of friends (10) by the amount of lemonade she serves to each one (400 ml)

400 x 10 = 4,000 milliliters

Finally, we have to divide the amount of lemonade she needs to serve (4,000 ml) by the capacity of the pitcher (2,000), to obtain the number of times that she will need to fill the pitcher.

4,000/2,000=2 times

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
Read 2 more answers
Help me please<br>I want the step by step explanation!!​
DiKsa [7]

Answer: AB=√17, AD=√98,6

Step-by-step explanation:

AB²=BC²+AC²-2*BC*AC*cosACB

AB²=5²+4²-2*5*4*0,6=25+16-24=17

AB=√17

AD²=AC²+CD²-2*AC*CD*cosACD

cosACD=cos(180°-ACB)=-cosACB

AD²=4²+7²-2*4*7*(-0,6)=16+49+33,6=98,6

AD=√98,6

4 0
3 years ago
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What number go were for gretest to least 0.38 0.34 7/20 and 1/5
valentinak56 [21]

Answer:

turn the fractions into decimals

7/20 = 0.35

1/5 = 0.20

the answer is

0.38 then 7/20 then 0.34 then 1/5

3 0
3 years ago
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