Answer:
<h2>16 = (x-2)² + (y-7)²</h2>
Step-by-step explanation:
see image
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The matrix equation that can be solved to find all the respective costs is;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
<h3>How to create matrix equations?</h3>
Let cost of admission for children be x.
Let cost of admission for adults be y.
Let cost of admission for carnival tickets be z.
Thus, we have the simultaneous equation as;
2x + 3y + 50z = 51
4x + 6y + 100z = 90
2x + 5y + 80z = 78
Thus, writing this in matrix form gives;
![\left[\begin{array}{ccc}2&3&50\\4&6&100\\2&5&80\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}51\\90\\78\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%263%2650%5C%5C4%266%26100%5C%5C2%265%2680%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5Cz%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D51%5C%5C90%5C%5C78%5Cend%7Barray%7D%5Cright%5D)
Read more about Matrix Equations at; brainly.com/question/11989522
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Where is the dot plot? Otherwise, the median is determined by finding out what is the middle number.