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GalinKa [24]
3 years ago
14

Evaluate the determinant for the following matrix: [- 5 1 1 4] A. –21 B. 19 C. –17 D. –24

Mathematics
2 answers:
mariarad [96]3 years ago
6 0

Answer:

-21

Step-by-step explanation:

I assume this is a 2 by 2 matrix.

\begin{bmatrix} -5 & 1\\1 & 4 \end{bmatrix}

determinant = -5 * 4  - 1 * 1 = -20 - 1 = -21

lara [203]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

If a matrix is defined as

A=\begin{bmatrix}a\:&\:b\:\\ c\:&\:d\:\end{bmatrix}\:

then its determinant is

|A|=\:ad-bc

Let the given matrix is

B=\begin{bmatrix}-5&1\\ \:1&4\end{bmatrix}

We need to find the determinant for the given matrix.

Using the above formula we get

|B|=\left(-5\right)\cdot \:4-1\cdot \:1

|B|=-21

The determinant of given matrix is -21. Therefore, the correct option is A.

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The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
Shalnov [3]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

x - 10

The second number in terms of x:

4x

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

19 - 10 = 9

4 \times 19 = 76

The first number is 9, second number 19 and the third number 76.

6 0
3 years ago
What is the median of those in the the picture please help
Molodets [167]

Answer:

Median is 24.5

Step-by-step explanation:

Median is the middle number in a set of numbers. If we have two middle numbers, we get the average. And from the question, listing them out, we have this

0,1, 2, 3,4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49.

The middle number here is 24 and 25. Getting their average will be 24.5

5 0
3 years ago
Select the statement that is true about squares from the choices below.
Leya [2.2K]
The answer is (C). All sides and angles of the square is equal. Its diagonals bisect each other and meet at 90°. If two lines are said to meet at 90°, these lines are perpendicular to each other. Therefore, the diagonals of a square is perpendicular to each other
7 0
3 years ago
Triangle ABC has been reflected over the x-axis to create triangle A'B'C'. Which of the following statements is true?
Leto [7]

Answer:

A ' = (-2, -3)

B ' = (0, -3)

C ' = (-1, 1)

=======================================================

Explanation:

To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.

Algebraically, the reflection rule used can be written as

Applying this rule to the three given points will mean....

Point A = (-2, 3) becomes A ' = (-2, -3)

Point B = (0, 3) becomes B ' = (0, -3)

Point C = (-1, -1) becomes C ' = (-1, 1)

The diagram is provided below.

Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.

Step-by-step explanation:

7 0
2 years ago
Daca a = 3-5 si b= 4:3*9:2
Thepotemich [5.8K]
A={2,3,5}
B={1,3,4}
A∩B={3}
R: a. {3}
5 0
2 years ago
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