Answer:
It is A
From the x-value of 3 to the x-value of 8, the y-value goes down from 3 to -6
This question is incomplete, the complete question is;
Determine if the described set is a subspace. Assume a, b, and c are real numbers.
The subset of R³ consisting of vectors of the form ![\left[\begin{array}{ccc}a\\b\\c\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Da%5C%5Cb%5C%5Cc%5Cend%7Barray%7D%5Cright%5D)
, where abc = 0
- The set is a subspace
- The set is not a subspace
Answer:
Therefore; The set is not a subspace
Step-by-step explanation:
Given the data the question;
the subset R³;
S = { , where abc = 0 }
we know that a subset of R³ is a subspace if it stratifies the following properties;
- it contains additive identity
- it is closed under addition
- it is closed under scales multiplication
Looking at the properties, we can say that it is not a subspace
As;
u = ![\left[\begin{array}{ccc}1\\1\\0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5C%5C0%5Cend%7Barray%7D%5Cright%5D)
∈ S and v = ![\left[\begin{array}{ccc}0\\1\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D0%5C%5C1%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
∈ S
As 1×1×0=0 0×1×1=0
But u+v = ![\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%2B0%5C%5C1%2B1%5C%5C0%2B1%5Cend%7Barray%7D%5Cright%5D%20%3D)
![\left[\begin{array}{ccc}1\\2\\1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C2%5C%5C1%5Cend%7Barray%7D%5Cright%5D)
∉ S as 1×2×1 ≠ 0
Hence, it is not closed under addition.
Therefore; The set is not a subspace
I think it is
1: 72
because there are 12 inches in a foot, and the room is 12 feet wide. 12 feet is 144 inches ( 12 x 12), and in the drawing, the width is 2 inches.
So, it went from its original 144 inches to 2 inches. I think it can also be written as 1: 72 because 1 is it's original from, and it became 72 times smaller.
The multiples of ten quantity or value of 10 in maths.
What is a TENS fact in math?
Your child can learn addition facts by using multiples of ten to help them understand the quantity or value of 10 in maths. I discussed the tens complement method for learning basic addition and subtraction concepts with sums or minuends more than 10, along with some of the many advantages of that method.
For example we can take The training vehicle is arranged like a row of numbers on a number rack. I'm aware that 8 plus 2 equals 10. There are two kids sleeping. Make There are ten facts—pairs of numbers that add up to 10. When adding 30 + 70 = 100 or 43 + 7 = 50, it is helpful to know right away that certain combinations result in 10, such as 3 + 7 = 10.
Hence, The multiples of ten quantity or value of 10 in maths.
Learn more about TENS fact, by the following link
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