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goblinko [34]
2 years ago
12

How are the entries of the matrix named by position?

Mathematics
1 answer:
4vir4ik [10]2 years ago
7 0

Matrix are used to represent numbers in rows and columns.

The position of the matrix elements are:

  • \mathbf{7 \to a_{21}}
  • \mathbf{-5 \to a_{34}}
  • \mathbf{-1 \to a_{12} }

Matrix elements are named using the row and column, the element belongs to.

For instance:

The name of an element in the third row and fifth column of a matrix b is \mathbf{ b_{35}}

Using the above explanation, the name of 7, -5 and -1 is as follows;

7 belongs to row 2 and column 1

So, the name is: \mathbf{ a_{21}}

\mathbf{7 \to a_{21}}

-5 belongs to row 3 and column 4

So, the name is: \mathbf{ a_{34}}

\mathbf{-5 \to a_{34}}

-1 belongs to row 1 and column 2

So, the name is: \mathbf{ a_{12}}

\mathbf{-1 \to a_{12} }

Read more about position of matrix at:

brainly.com/question/17409182

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Determine which lines are parallel and which are not parallel. Explain your reasoning.
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If M and N are parallel, then the correspondent angles generated by the intersection with line R (or line S) should be equal.

So, if M and N are parallel, we should get that angles 2 and angle 4 are equal, as both of these are on the fourth quadrant of the intersection with the same line.

Similarly, if R and S are parallel, then correspondent angles generated by the intersection with line M (or line N) should be equal, this means that:

angle 3 and angle 7 should be equal.

Also remember that if we have two lines intersecting, generating 4 angles, any pair of two adjacent angles will always add to 180°.

Here we have two cases:

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m∠3 ≠ m∠7

Thus, lines  R and S are not parallel.

And here we do not have any information on the angles 1, 2, 5, and 6, so we can't compare the angles generated by line N with the ones generated by line M, so we can not know if lines N and M are parallel or not.

2) Now we have that:

m∠3=76°  , m∠8=114°

Notice that angle 8 and angle 7 are adjacent, then we have that:

∠7 + ∠8 = 180°

And we know that:

∠8 = 114°

Then:

∠7 + 114° = 180°

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∠7 = ∠3

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6 0
3 years ago
Tammy conducted a survey to find the favorite subject of the students at her school. She asked 25 students from her math class w
almond37 [142]
Tammy's sample may not be considered valid because, on the first hand, it is said that she only asked students from her " Math Class". 
If she wants to have a survey to find out the favorite subject of the students at her school, she must conduct a survey involving all the students in her school, not just in her class. What she did is just subjective. She should use a tally listing the different subjects and compare the number of students per subject. This way, she can have an objective representation of the least liked subjects and the most liked subjects of the students on her school.
Illustrating her survey through statistics may be more reliable and valid because it shows frequencies in which she can calculate easily and accurately the percentage of  the number of students per subject, in a more objective manner.
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