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iogann1982 [59]
2 years ago
9

20 points and brainliest if answered correctly

Mathematics
1 answer:
Elena L [17]2 years ago
5 0

Answer:

y=9,x=4

Step-by-step explanation:

System of equations:

x+y=13

60x+80y=960

_____________

simplify:(isolate x)

x=\frac{4(-y+12)}{3}

x+y=13\\

substitute equation for x into second equation:

\frac{4(-y+12)}{3} +y=13\\

simplify:

\frac{-y+48}{3}=13\\ y=9\\

substitute y into equation for x:

x=4

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Answer:

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Explanation:

<em>The dimensions of a matrix</em> is the number of rows × the number of columns of the matrix.

Your matrix is garbled. Thus, to help you I will work with an hypothetical matrix.

Assume the matrix:

        \left[\begin{array}{cccc}1&0&0&0\\2&4&0&3\\0&0&0&9\end{array}\right]

That matrix has four colums and 3 rows.

For instance, the first colum is:

            \left[\begin{array}{c}1\\2\\0\end{array}\right]        Thus, it has 4 columns.

And the second row is:

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Hence,  the matrix is 3 × 4.

The first number is the number of rows and the second number is the number of columnns.

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Step-by-step explanation:

According to the given situation, the calculation of volume of the solid is shown below:-

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Now, rotating the line for the line x which is equals to 7

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Now, the area of cross section is

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V = \int\limits^1_{-1} A(y)dy

now we will put the values into the above formula

= \int\limits^1_{-1} 49\pi(y^4 - 2y^2 + 1)dy\\\\ = 49\pi(\frac{y^5}{5}  - \frac{2y^3}{3} + y)^{-1}\\\\ = 49\pi(\frac{1}{5} - \frac{2}{3}  + 1 + \frac{1}{5} - \frac{2}{3} + 1)\\\\ = 49\pi(2 + \frac{2}{5} - \frac{4}{3} )\\\\ = 49\pi(\frac{30+6-20}{15} )\\\\ = \frac{49\pi}{15} (16)

After solving the above equation we will get

= \frac{784}{15} \pi

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