Answer:
(A)A and C
Step-by-step explanation:
In each case, represent each of the 
as a column vector where each row corresponds to the constant term, coefficient of t and 
respectively.
A= The set where 
![A=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&0\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%260%265%5C%5C0%261%260%5Cend%7Barray%7D%5Cright%5D)
B: The set where 
![B=\left[\begin{array}{ccc}0&0&0\\1&0&2\\0&1&5\end{array}\right]\\|B|=0](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%260%260%5C%5C1%260%262%5C%5C0%261%265%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CB%7C%3D0)
C: The set where 
![C=\left[\begin{array}{ccc}1&0&1\\0&0&5\\0&1&1\end{array}\right]\\|C|=-5](https://tex.z-dn.net/?f=C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%261%5C%5C0%260%265%5C%5C0%261%261%5Cend%7Barray%7D%5Cright%5D%5C%5C%7CC%7C%3D-5)
Since the determinants of A and C are not 0, the set of vectors in A and C are linearly independent.
The classification of the triangle is based on the relationship of the square of the longest side to the sum of the squares of the two remaining side. This is shown below,
a² + b² ___ c²
Substituting the values,
5² + 7² ___ 8²
74 > 64
Because of this relationship of the squares of the sides, the triangle is OBTUSE. Therefore, the answer is letter C.
What is the Q3 of the following set of data? 106, 117, 152, 132, 148, 101, 124, 110, 167, 139, 112
shepuryov [24]
Answer:
D. 148
Step-by-step explanation:
The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3 .
Answer:
8111.5
Step-by-step explanation:
Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve
Rewriting the above question in figure :
4000 + 100 + 0.5 = 5100.5
12000 + 1200 + 12 = 13212
13212 - 5100.5 = 8111.5
= 8111.5
The answer is 896 Hope this helped.
