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aleksklad [387]
3 years ago
11

Write the equation of the ellipse with its center at the origin. The height of the ellipse is 8 units and the width is 4 units.

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0
The standard equation of an ellipse is:

(x-h)²/a² + (y-k)²/b² = 1

Since the center at the origin, then h = k = 0

The height of this ellipse = 8 units and the width = 4 units, that means the major axis is b (=8) and the minor axis is a (=4)

Then the equation becomes:

x²/16 + y²/64 = 1

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R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the va
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Answer:

a = 3.7464

b = 16

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in a * 10^b

From the question, we have:

People = 4.46 * 10^9

Breath = 8.4 * 10^6 breath/person in a year

The number of breath is calculated by:

Overall = People * Breath

So, we have:

Overall = 4.46 * 10^9 * 8.4 * 10^6

Reorder

Overall = 4.46  * 8.4* 10^9 * 10^6

Overall = 37.464* 10^{9+6}

Overall = 37.464* 10^{15}

Using scientific notation a * 10^b;

The value (a) must be in the following interval 0 \le a \le 1

So, we have:

Overall = 3.7464 * 10 * 10^{15

Overall = 3.7464 * 10^{16

By comparing the above with: a * 10^b

a = 3.7464

b = 16

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Read 2 more answers
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