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3 years ago

9x^2+4y^2 = 36

Mathematics

2 answers:

Vladimir [108]3 years ago

7 0

Answer:

c.(0, -√5) and (0, √5)

Step-by-step explanation:

The equation represents an ellipse centered on origin (0,0). First, the formula is rearranged to its cannonical form:

$\frac{x^{2}}{4} + \frac{y^{2}}{9} = 1$

The foci are located in the lines of the semimajor axes, so, the distance between the center and any of the foci is:

$c = \sqrt{9 - 4}$

$c = \sqrt{5}$

The foci are located at $(0, -\sqrt{5})$ and $(0,\sqrt{5})$ . Hence, the answer is C.

Afina-wow [57]3 years ago

6 0

The answer is c
hope this would help you

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Mia is tracking her savings account balance . She knows the equation to find her balance y in any year t, but she can't remember

motikmotik

Complete question is;

Mia is tracking her savings account balance. She knows the equation y = 8000p^(t) can be used to find her balance y in any year t, but she can't remember what p represents. Her balance 3⅔ years after opening her account, is $9,905.54. What is the value of p?

Answer:

p = 1.06

Step-by-step explanation:

We are told that the equation y = 8000p^(t) can be used to find her balance y in any year t.

Now, we are given t = 3⅔ = 11/3 years

Also, we are given balance after 11/3 years as;

y = $9,905.54

Thus;

Plugging the relevant values into y = 8000p^(t), we have;

9,905.54 = 8000p^(11/3)

p^(11/3) = 9905.54/8000

p = (9905.54/8000)^(3/11)

p = 1.06

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3 years ago

Select the decimal that is equivalent to 1/8

iogann1982 [59]

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2 years ago

Read 2 more answers

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oksian1 [2.3K]

Answer:

<h3> 1) $x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$ </h3><h3> 2) $x_1=-\dfrac13\,,\quad x_2=-3$ </h3>

Step-by-step explanation:

$x^2 - 7x + 9 = 0\quad\implies\quad a=1\,,\ b = -7\,,\ c=9\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot9}}{2\cdot1}=\dfrac{7\pm\sqrt{49-36}}2\\\\x_1=\dfrac{7+\sqrt{13}}2\,,\quad x_2=\dfrac{7-\sqrt{13}}2$

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2 years ago

Find the value of x.

elena-s [515]

Hi there!

Using the formula - n-2*180 -, we know that the interior angles of a pentagon add up to 540. We can use the values we're given and add them together and set them all equal to 540, then solve.

WORK:
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Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

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3 years ago

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mr Goodwill [35]

Answer:

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Step-by-step explanation:

Have a nice day! :-)

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2 years ago