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stellarik [79]
3 years ago
5

What is the value of v?

Mathematics
1 answer:
Assoli18 [71]3 years ago
7 0
I hope this helps you

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The value of
marusya05 [52]

\large\underline{\sf{Solution-}}

We have to find out the value of the fraction.

<u>Let us assume that:</u>

\sf \longmapsto x =2 +   \dfrac{1}{2 +  \dfrac{1}{2 +  \dfrac{1}{2 + ... \infty} } }

<u>We can also write it as:</u>

\sf \longmapsto x =2 + \dfrac{1}{x}

\sf \longmapsto x =\dfrac{2x + 1}{x}

\sf \longmapsto  {x}^{2}  =2x + 1

\sf \longmapsto {x}^{2}  - 2x - 1 = 0

<u>Comparing </u>the given <u>equation</u> with <u>ax² + bx + c = 0,</u> we get:

\sf \longmapsto\begin{cases} \sf a =1 \\ \sf b =  - 2 \\ \sf c =  - 1 \end{cases}

<u>By quadratic formula:</u>

\sf \longmapsto x =  \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1}

\sf \longmapsto x =  \dfrac{2 \pm \sqrt{8} }{2}

\sf \longmapsto x =  \dfrac{2 \pm2 \sqrt{2} }{2}

\sf \longmapsto x = 1 \pm\sqrt{2}

\sf \longmapsto x = \begin{cases} \sf 1  + \sqrt{2} \\ \sf 1 -  \sqrt{2}  \end{cases}

<u>But </u><u>"</u><u>x"</u><u> cannot be negative. Therefore:</u>

\sf :\implies x = 1 + \sqrt{2}

So, the value of the fraction is 1 + √2.

4 0
2 years ago
Please help me understand
puteri [66]

9514 1404 393

Answer:

  D.  86°

Step-by-step explanation:

Points D and F divide the circle into two arcs. The long arc is labeled 274°, and the short arc is the one you're asked to find. You know the total of these two arcs is the full circle, 360°.

  274° + DF = 360°

  DF = 360° -274°

  DF = 86°

__

There are other relationships you can use to find arc DF. One of the simpler ones is ...

  DF and the external angle at E are supplementary:

  DF = 180° -94° = 86°

5 0
3 years ago
Which sentence best describes the interval [-2,1]
PolarNik [594]

Answer:

The function is increasing on the interval [-2,1]

Step-by-step explanation:

6 0
2 years ago
Find the product. Write your answer in scientific notation. (3 x 10^2)×(4×10^5) ​
suter [353]

Answer:

12 * 10 ^ 7

Step-by-step explanation:

3 * 10 ^ 2 * 4 * 10 ^5

= 12 * 10^ 2 + 5

= 12 * 10 ^ 7

Hope it will help :)

7 0
2 years ago
What is 8% of 70....?
Kruka [31]
11% not 100% sure Bc I calculated but hope it helped!
7 0
3 years ago
Read 2 more answers
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