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Gala2k [10]
2 years ago
13

Identify the equation of the translated graph in general form x^2-y^2=9 for T(-4,2)

Mathematics
2 answers:
Lelechka [254]2 years ago
8 0

Answer:

B

Step-by-step explanation:

The equation x^2-y^2=a under the translation of  T (p,q) will have the form  (x-p)^2-(y-q)^2=a

<em>Now, using the translation T(-4,2) in the equation given, we can write:</em>

<em>(x+4)^2-(y-2)^2-9=0\\x^2+8x+16-y^2+4y-4-9=0\\x^2-y^2+8x+4y+3=0</em>

<em />

<em>Looking at the choices, </em><em>B is the right answer.</em>

liberstina [14]2 years ago
7 0

Answer:

Looking at the choices, B is the right answer.

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The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in
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Answer:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})

And when we apply the limit we got that:

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Step-by-step explanation:

Assuming this complete problem: "The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit . 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2"

We have the following formula in order to find the sum of cubes:

\lim_{n\to\infty} \sum_{n=1}^{\infty} i^3

We can express this formula like this:

\lim_{n\to\infty} \sum_{n=1}^{\infty}i^3 =\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2

And using this property we need to proof that: 1^3+2^3+3^3+...+n^3=[n(n+1)/2]^2

\lim_{n\to\infty} [\frac{n(n+1)}{2}]^2

If we operate and we take out the 1/4 as a factor we got this:

\lim_{n\to\infty} \frac{n^2(n+1)^2}{n^4}

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\lim_{n\to\infty} \frac{(n+1)^2}{n^2}

We can reorder the terms like this:

\lim_{n\to\infty} (\frac{n+1}{n})^2

We can do some algebra and we got:

\lim_{n\to\infty} (1+\frac{1}{n})^2

We can solve the square and we got:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2})

And when we apply the limit we got that:

\lim_{n\to\infty} (1+ \frac{2}{n} +\frac{1}{n^2}) =1

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2 years ago
Gillian purchased 25 books at the library book sale. Each hardcover book cost $1.50, and each paperback book cost $0.50. Gillian
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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

i just took the test and checked

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Hope this helps :).

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