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Nat2105 [25]
3 years ago
14

Find the coordinates of the circumcenter of the triangle with the given vertices.

Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0

9514 1404 393

Answer:

  (5, 8)

Step-by-step explanation:

The circumcenter of a right triangle is the midpoint of the hypotenuse.

  O = (A +C)/2

  O = ((2, 6) +(8, 10))/2 = (2+8, 6+10)/2

  O = (5, 8)

The circumcenter is (5, 8).

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3 years ago
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The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the
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C=  \left[\begin{array}{cc}1&-2\\-3&7\end{array}\right]  \\ C^{-1}= \left[\begin{array}{cc}7&2\\3&1\end{array}\right]  \\ \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \times   \left[\begin{array}{ccccc}7&-28&-25&-35&-2\\-21&107&90&123&17\end{array}\right]  \\ =\left[\begin{array}{ccccc}49-42&-196+214&-175+180&-245+246&-14+34\\21-21&-84+107&-75+90&-105+123&-6+17\end{array}\right] \\ =\left[\begin{array}{ccccc}7&18&5&1&20\\0&23&15&18&11\end{array}\right]
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