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3 years ago

Find the equation of the ellipse with the following properties.

Mathematics

2 answers:

Vladimir79 [104]3 years ago

8 0

The equation of an ellipse where the major axis 2a is greater than the minor 2b
(x-h)²/a² + (y-k)²/b² =1.
When 2b>2a , then the equation becomes (y-h)²/b² + (x-k)²/a² =1
In our example a = 4 and b = 9. Moreover h=0 and k=0 because the center is on the origin, so the equation becomes:
y²/b² + x²/a² = y²/81 + x²/16 = 1

kaheart [24]3 years ago

5 0

Check the picture below

so.. hmm notice the center h,k and the major and minor axis components, thus just plug them in.

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Which of the following expressions is equal to 5^6/5^2

Natali5045456 [20]

Answer:

$\dfrac{5^6}{5^2}$ = $5{\cdot}5{\cdot}5{\cdot}5$

Step-by-step explanation:

The given expression is :

$\dfrac{5^6}{5^2}$

We need to find this expression is equal to what.

$\dfrac{5^6}{5^2}=\dfrac{5^4\times 5^2}{5^2}\\\\=5^4\\\\=5\times 5\times 5\times 5\\\\\text{or}\\\\=5{\cdot}5{\cdot}5{\cdot}5$

Hence, $\dfrac{5^6}{5^2}$ is equal to $5{\cdot}5{\cdot}5{\cdot}5$ . Hence, the correct option is (c).

5 0

2 years ago

Help help me please

LuckyWell [14K]

If they are parallelogram

2x/10=4y

3y/24=6x

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7 0

3 years ago

Select the correct answer.

ohaa [14]

Answer:

Set the compass to a convenient width, and draw an arc that is centered at the vertex of the original angle and intersects both legs of the original angle.

8 0

3 years ago

9 x 10 to the power of 2 how many times as much as 3 x 10 to the -2 power

hjlf

Answer:

3×10^4

Step-by-step explanation:

The desired factor is found by calculating the ratio of the two numbers:

k = (9×10^2)/(3×10^-2) = (9/3)×10^(2 -(-2)) = 3×10^4

The first number is 3×10^4 = 30,000 times as much as the second number.

6 0

2 years ago

If you flip a fair coin 7 times, what is the probability that you will get exactly 4 tails?

andre [41]

Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Step-by-step explanation:

We need to find the probability that you will get exactly 4 tails, if you flip a fair coin 7 times.

This is the combination question.

The total combinations will be: 2^7=128

Now, finding number of ways we can get exactly 4 tiles:

We will use the formula:

$^nC_k=\frac{n!}{k!(n-k)!}$

in our given question, n= 7, k= 4

Putting values:

$^nC_k=\frac{n!}{k!(n-k)!}\\^7C_4=\frac{7!}{4!*3!}\\ ^7C_4=\frac{7*6*5*4!}{4!*3!}\\ ^7C_4=\frac{7*6*5}{6}\\ ^7C_4=35$

So, Probability that you will get exactly 4 tails, if you flip a fair coin 7 times is: $\frac{35}{128}$

Keywords: Probability

Learn more about Probability at:

#learnwithBrainly

7 0

3 years ago