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suter [353]
2 years ago
10

Can someone please explain how to find the eccentricity for the ellipse with the following equation?:

Mathematics
1 answer:
cluponka [151]2 years ago
8 0

Answer:

The answer to your question is e = \frac{2\sqrt{2}}{3}          

Step-by-step explanation:

Data

Ellipse = 36x² + 4y² = 9

e = ?

Formula

e = c/a

Process

1.- Convert the equation of the ellipse to the canonical form

              36x² + 4y² = 9

- Divide by 9 both sides

             36/9x² + 4/9y² = 9/9

                 4x² + 4/9y² = 1

                   x² /(1/4) + y² / (9/4) = 1

b² = 1/4      b = 1/2

a² = 9/4     a = 3/2

2.- Find c

                  a² = b² + c²

                   c² = a² - b²

Substitution

                  c² = 9/4 - 1/4

Simplification

                  c² = 8/4

                  c² = 2

                  c= \sqrt{2}

3.- Find the eccentricity

e = \sqrt{2} / (3/2)

e = \frac{2\sqrt{2}}{3}              

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seropon [69]
Your answer is C If not A have a good day
7 0
3 years ago
Read 2 more answers
What is the greater faction than 11/20
Mila [183]

Answer:

Are you looking to calculate whether 2/10 is greater than 11/20? One of the most common calculations you'll make in math is to compare fractions. In this really simple guide, we'll teach you how to compare and determine if 2/10 is bigger than 11/20 and walk you through the step-by-process of how the calculation is made.

As we always do in these tutorials, let's recap and remind ourselves that the number above the fraction line is called the numerator and the number below the fraction line is called the denominator.

Depending on the math problem you want to solve, there are two methods to calculate if 2/10 is larger than 11/20:

Convert the fractions to have the same denominator

Convert the fractions to a decimal number

Let's start with the first method: converting the fractions to the same denominator. First, we'll set up 2/10 and 11/20 side by side so they are easier to see:

Converting Denominator

2

10

&

11

20

Our denominators are 10 and 20. What we need to do is find the lowest common denominator of the two numbers. This is the smallest number that can be divided by both 10 and 20. In this case, the lowest common denominator is 20.

If we multiply the first denominator (10) by 2 we will get 20. If we multiply the second denominator (20) by 1 we will also get 20. We also need to multiply the numerators above the line by the same amounts so that the fraction values are correct:

2 x 2

10 x 2

11 x 1

20 x 1

This is what 2/10 and 11/20 looks like with the same denominator:

4

20

&

11

20

Now that these fractions have been converted to have the same denominator, we can clearly see by looking at the numerators that 4 is NOT greater than 11 which also means that 2/10 is NOT greater than 11/20.

Converting to Decimal

You can also compare these fractions by first converting them to decimal format. This is a lot faster than working out the lowest common denominator. All we do here is divide the numerator by the denominator for each fraction:

2/10 = 0.2

11/20 = 0.55

Now that these fractions have been converted to decimal format, we can compare the numbers to get our answer. 0.2 is NOT greater than 0.55 which also means that 2/10 is NOT greater than 11/20.

Hopefully this tutorial has helped you to understand how to compare fractions and you can use your new found skills to compare whether one fraction is greater than another or not!

© 1999-2021 VisualFractions.com. All Rights Reserved.

4 0
2 years ago
Plsss help I’ll give u brainlest and 5 or 10 points pls
Svetach [21]

Answer:

No

Step-by-step explanation:

That is not enough,that is why it is a no

PLs mark brainly

Hope this helps:)

8 0
3 years ago
Find the value of x<br> m&lt;2=4x+12
Sergeu [11.5K]

Answer:

x = 1

Step-by-step explanation:

the angle 2 is equal to 52, because triangles add up to be 180, and 180 - 76 and divided by two is 52. 52 = 4x + 12. Divide both sides by four, then subtract 12. x = 1

6 0
2 years ago
To make cheesecake you need about 21/2pounds of creamcheese how many pounds of cream cheese will you need to make 2 cheesecakes
Elina [12.6K]
2 1/2 pounds of cream cheese for a cheesecake
to find the amount needed to make 2 cheesecakes multiply 2 1/2 times 2
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you need 5 pounds of cream cheese to make 2 cheesecakes
6 0
3 years ago
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