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Firdavs [7]
2 years ago
15

Suppose you mark n points on a circle, where n is a whole number greater than 1. The number of segments you can draw that connec

t these points is 1/2n^2 - 1/2n
How many segments can you draw if you mark 8 points on the circle?
Mathematics
1 answer:
leonid [27]2 years ago
5 0
The expression for the number of segments drawn out of the n number of points in the circle is,
                                n² / 2 - n / 2
Substituting directly to the expression the number of points, n, which is equal to 8,
                                8² / 2  - 8 / 2 = 28
Thus, there are 28 segments that can be drawn from the points. 
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NEED HELP Find values for a, b, c, and d so that the following matrix product equals the 2X2 identity matrix. Explain or show ho
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We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

  • b = 1
  • a = -1
  • c = -2
  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

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\left[\begin{array}{cc}-b + 2&-c + 2d\\a*b + 1&a*c + d\end{array}\right]

Then we must have:

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This means that:

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We also need to have:

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we know the value of b, so we just have:

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Now the two remaining equations are:

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Replacing the value of a we get:

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Then:

c  = 2d = 2*(-1) = -2

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  • d = -1

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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