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Lynna [10]
3 years ago
8

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and sm

allest diameters of the ellipse.
Mathematics
1 answer:
Ierofanga [76]3 years ago
4 0

Answer:

We have the formula for determing the area of an ellipse : a = Pi * x * y, and we have to find the equivalent equation solved for y. In this formula x is half the length of the largest and y is half the length of the smallest diameter of the ellipse. Pi is approx. 3.14. Starting with: a = Pi * x * y ( we will divide both sides of the equation by: Pi * x ) => a /(Pi*x) = y. Answer: y = a / (Pi*x).

Plz mark brainliest if this helps!

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What are the values of m and n in the matrix addition below?
Aleksandr [31]

ANSWER

The correct answer is m=45,n=12.

<u>EXPLANATION</u>

We were given the matrix equation;

\left[\begin{array}{cc}n-1&6\\-19&m+3\end{array}\right] +\left[\begin{array}{cc}-1&0\\16&-8\end{array}\right] =\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


We must first simplify the Left Hand Side of the equation by adding corresponding entries.


\left[\begin{array}{cc}n-1+-1&6+0\\-19+16&m+3-8\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].


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\left[\begin{array}{cc}n-2&6\\-3&m-5\end{array}\right]=\left[\begin{array}{cc}10&6\\-3&40\end{array}\right].

Since the two matrices are equal, their corresponding entries are also equal. we equate corresponding entries and solve for m and n.


This implies that;


n-2=10


We got this equation from row one-column one entry of both matrices.


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Hence the correct answer is m=45,n=12.


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Step-by-step explanation:

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