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Andreyy89
3 years ago
15

Which of the following is a true statement?

Mathematics
1 answer:
Nikolay [14]3 years ago
3 0

Answer:

The last choice: 68/5 - 22/5 = 9 1/5

Step-by-step explanation:

Solve each problem:

9 3/7 = 10 3/7

The fractions are the same so look at the whole numbers.

Does 9 equal 10? No, it doesn't so this is a false statement.

332/4 = 1/83

Simplify 332/4:

332/4 = 83/1

83 does not equal 1/83 so this is a false statement.

37/5 = 5 2/5

Convert the improper fraction into a mixed number:

7 2/5 = 5 2/5

These numbers do not equal each other so this is a false.

68/5 - 22/5 = 9 1/5

Subtract the numerators on the left side of the equation:

46/5 = 9 1/5

Convert the improper fraction into a mixed number:

9 1/5 = 9 1/5

These numbers equal each other so this is a true statement!

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Answer:

\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}

Step-by-step explanation:

<u>Column Vector</u>

Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.

It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).

The vector directed from A to B is found by subtracting its corresponding coordinates:

\overrightarrow{AB }=

\overrightarrow{AB }=

Now we express the vector as a one-column matrix as follows:

\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}

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