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stiks02 [169]
2 years ago
7

The point S is on the line AB so that lengths AS:SB are in the ration 3:2. If A = (21,3) and B = (6, 33) then find the co ordina

te of S
Mathematics
1 answer:
Alexeev081 [22]2 years ago
4 0

From the section formula, it was found that the coordinate for the point <u>S</u> is (12,21).

<h3>Section Formula</h3>

The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:

S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}), where

ratio=\frac{m}{n}

x_1 and y_1 are coordinates of A

x_2 and y_2 are coordinates of  B

  • Find the point S

The question gives  r=\frac{3}{2}, A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.

Next step, applying the internal section formula. Then, you have:

S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)

Read more about the section formula here:

brainly.com/question/14812336

#SPJ1

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Answer:

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The general solution values  

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Step-by-step explanation:

Explanation:-

Given equation is  

                              2cosx-\sqrt{3} =0  for 0

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Dividing '2' on both sides, we get

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<em>General solution of cos θ = cos ∝ is θ = 2nπ±∝</em>

<em>Now The general solution of   </em>cos x = cos(\frac{\pi }{6})<em>   is  </em>

<em>                                                 x = 2nπ±</em>\frac{\pi }{6}<em></em>

put n=0

x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

Put n=1  

x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}

x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}

put n=2

x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}

x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}

And so on

But given 0 < x< 2π

The general solution values  

                                 x = - \frac{\pi }{6}  and x = \frac{\pi }{6}

                               

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Answer:

What is n?

Step-by-step explanation:

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Answer:

a.

Step-by-step explanation:

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Answer/Step-by-step explanation:

Given,

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Thus,

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Slope of this line would be 10/3

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The slope of this line is -³/10.

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Idk but I would guess 3!
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