Answer:
infinite solutions
Step-by-step explanation:
y=5/2x+2
2y= 5x +4
Multiply the first equation by 2
y = 5/2 x +2
2y = 5/2 *2 x +2 *2
2y = 5x +4
Since this is identical to the second equation (they are the same), the system of equations has infinite solutions
Answer:
20
Step-by-step explanation:
so 5 out of 6
6 divides 24 equally in two parts
take one away every 6 questions
20 questions correctly
The adjoint of the matrix
is ![\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
<h3>How to determine the adjoint?</h3>
The matrix is given as:
![\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1%260%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%5D)
For a matrix A be represented as:
![A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]](https://tex.z-dn.net/?f=A%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%26b%5C%5Cc%26d%5Cend%7Barray%7D%5Cright%5D)
The adjoint is:
![Adj = \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]](https://tex.z-dn.net/?f=Adj%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dd%26-b%5C%5C-c%26a%5Cend%7Barray%7D%5Cright%5D)
Using the above format, we have:
![Adj = \left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=Adj%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
Hence, the adjoint of the matrix
is ![\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C-2%261%5Cend%7Barray%7D%5Cright%5D)
Read more about matrix at:
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The number of unit cubes left after taken 13 unit cubes from the thousand unit cubes expressed as a fraction and decimal is; 987/1000 and 0.987 respectively.
<h3>What is the number of unit cubes left when thirteen unit cubes are taken away from a thousand expressed as a fraction and decimal?</h3>
It follows from the task content that the description goes thus; Thirteen unit cubes are taken from the thousand cube.
Hence, the number of unit cubes left is; 1000 - 13 = 987.
Consequently, when expressed as a fraction of the whole, we have; = 987/1000 and when expressed as a decimal, we have; 0.987.
Read more on fractions and decimals;
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<h3>The area of semicircle is

</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the area of a semi circle with a radius of 3 cm
<em><u>The area of semicircle is given as:</u></em>

Where, r is the radius
From given,
r = 3 cm
<em><u>Substituting the values we get,</u></em>

Thus the area of semicircle is 