A swimming pool is 30 ft long and 15 ft wide. How much water do you need to fill the pool if it is 6 ft deep? (Thanks?)
1 answer:
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Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors and for all scalars
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t:
Where
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2)
And we can express like this
3) If and
then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
Answer is C. HMG and LMK
see attached picture to explain
Vertical angles are congruent and opposite of each other where two lines cross
see attached picture to explain
Vertical angles are congruent and opposite of each other where two lines cross