Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
Answer:
32
Step-by-step explanation:
if there are 5 occupied rooms for every 2 unoccupied, you just have to (80/5)x2
(16)x2
32
Answer:
D is the correct answer...
The answer of the matrix equation will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
<h3>What is Matrix ?</h3>
Matrices are known as the tables of numbers. The numbers are usually put into the big brackets. Matrices are given the 'orders', which describes the size of the matrices. The order is the number of rows 'by' the number of columns. For example: a 2 by 3 matrix has 2 rows and 3 columns.
Step-by-step explanation:
1.Find the inverse matrix of the equation
![\left[\begin{array}{ccc}2&1\\1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C1%262%5Cend%7Barray%7D%5Cright%5D)
The inverse of this equation will be :
![\left[\begin{array}{ccc}2&-3\\-1&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%26-3%5C%5C-1%262%5Cend%7Barray%7D%5Cright%5D)
2.Multiply it with ![\left[\begin{array}{ccc}5\\4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D5%5C%5C4%5Cend%7Barray%7D%5Cright%5D)
3.Multiply the rows of the first matrix with the columns of another
2×5+(-3)×4
(-1)×5+2×4
4.Simply each element
The answer will be ![\left[\begin{array}{ccc}-2\\3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C3%5Cend%7Barray%7D%5Cright%5D)
To know more about Matrix, visit:
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Answer:wow
Step-by-step explanation: