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chubhunter [2.5K]
3 years ago
12

Which of the following results from taking the square root of a negative

Mathematics
1 answer:
34kurt3 years ago
7 0
A. Imaginary number
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The answer to your question is D
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The eccentricity e of an ellipse is defined as the number c/a, where a is the distance of a vertex from the center and c is the
Anna71 [15]

Answer:

Check below, please.

Step-by-step explanation:

Hi, there!

Since we can describe eccentricity as e=\frac{c}{a}

a) Eccentricity close to 0

An ellipsis with eccentricity whose value is 0, is in fact, a degenerate one almost a circle. An ellipse whose value is close to zero is almost a degenerate circle. The closer the eccentricity comes to zero, the more rounded gets the ellipse just like a circle. (Check picture, please)

\frac{x^2}{a^2} +\frac{y^2}{b^2} =1 \:(Ellipse \:formula)\\a^2=b^2+c^2 \: (Pythagorean\: Theorem)\:a=longer \:axis.\:b=shorter \:axis)\\a^2=b^2+(0)^2 \:(c\:is \:the\: distance \: the\: Foci)\\\\a^2=b^2 \\a=b\: (the \:halves \:of \:each\:axes \:measure \:the \:same)

b) Eccentricity =5

5=\frac{c}{a} \:c=5a

An eccentricity equal to 5 implies that the distance between the Foci has to be five (5) times larger than the half of its longer axis! In this case, there can't be an ellipse since the eccentricity must be between 0 and 1 in other words:

If\:e=\frac{c}{a} \:then\:c>0 , and\: c>0 \:then \:1>e>0

c) Eccentricity close to 1

In this case, the eccentricity close or equal to 1 We must conceive an ellipse whose measure for the half of the longer axis a and the distance between the Foci 'c' they both have the same size.

a=c\\\\a^2=b^2+c^2\:(In \:the\:Pythagorean\:Theorem\: we \:should\:conceive \:b=0)

Then:\\\\a=c\\e=\frac{c}{a}\therefore e=1

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3 years ago
Sora correctly solved this inequality.
mash [69]

Answer:

D.

Step-by-step explanation:

Took 2020 middle school Ed unit test end of year

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Tony is a medical sales representative. His company has set a goal for him to sell 4,200 bottles of a new medicine in 3 months i
BlackZzzverrR [31]
That answer would be 4,200/3=1,400
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Which expression represents the phrase?"4 more than the product of 8 and n."A) 8n – 4B) 8n + 4C) 4(8 + n)D) (8 + n) – 4
Dafna11 [192]

Answer:

B) 8n+4

Step-by-step explanation:

The product of 8 and n means 8n. Four more means +4. These together equal B) 8n+4

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