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ozzi
2 years ago
13

Please help. Brainliest

Mathematics
1 answer:
Olenka [21]2 years ago
5 0

Answer:

second choice.

Step-by-step explanation:

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Let V=ℝ2 and let H be the subset of V of all points on the line 4x+3y=12. Is H a subspace of the vector space V?
sergejj [24]

Answer:

No, it isn't.

Step-by-step explanation:

We have V=IR^{2} and let H be the subset of V of all points on the line

4x+3y=12

We need to find if H is a subspace of the vector space V.

In IR^{2} all the possibilities for own subspace of the vector space IR^{2} are :

  • IR^{2} itself.
  • The vector 0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]
  • All lines in IR^{2} that passes through the origin  (  0_{IR^{2}}=\left[\begin{array}{c}0&0\end{array}\right]  )

We know that H is the subset of IR^{2} of all points on the line 4x+3y=12

If we look at the equation, the point \left[\begin{array}{c}0&0\end{array}\right] doesn't verify it because :

4x+3y=12\\4(0)+3(0)=12\\0=12

Which is an absurd. Therefore, H doesn't contain the origin (and H is a line in IR^{2}). Finally, it can't be a vector space of V=IR^{2}

8 0
2 years ago
A box has a volume of 30 cubic cm. the box is filled with unit cubes, with no gaps or overlaps. each unit cube measures 1 cm in
aksik [14]

Answer:

C. 30.

Step-by-step explanation:

Each cube has a volume  of 1 * 1* 1 = 1 cu cm.

The answer is 30 unit cubes because 30 *1 = 30.

7 0
3 years ago
Plz help me thanks so much for helping
11111nata11111 [884]

Answer:

total cost = 351.33

Step-by-step explanation:

The tax is found by multiply the cost times the tax rate

tax = 334.60 * .05

tax =16.73

Add the tax to the cost of the item to get the total cost

total cost = 16.73 + 334.60

total cost = 351.33

6 0
3 years ago
The sum of a number and 9 is multiplied by -2 and the answer is -8
nadya68 [22]
9(-2)+x=-8
And x would be positive 26
7 0
3 years ago
Task: Multiplying and Dividing Expressions
koban [17]
Najsjsiskekasizjnsdkdkdkx
3 0
3 years ago
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