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Mazyrski [523]
3 years ago
14

I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the gr

id looks like:

Mathematics
2 answers:
olga nikolaevna [1]3 years ago
6 0

Answer:

9, 1, 9, 1

2, 8, 2, 8

3, 7, 3, 7

6, 4, 6, 4

Step-by-step explanation:

you would have to have the numbers repeat so it works, for instance, you could do 9,1,9,1 as the first row then 2,8,2,8 as the second row and for the third row you could do 3,7,3,7 and for the fourth row you could do 6,4,6,4 so both the columns and rows add to 20

igor_vitrenko [27]3 years ago
3 0

Answer:

8, 2, 8, 2

7, 3, 7, 3

6, 4 6, 4

9, 1, 9, 1

Step-by-step explanation:

In the picture, it shows two of each number so I'm gonna base it off the picture but let me know if I should base it off the wording.

So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.

Since there are 18 numbers, I'm assuming we don't have to use all of them.

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Allisa [31]
Using similar triangles, we see that 12/x = x/16.  Multiplying by 16x, we see that x^2=12*16=192.

By the Pythagorean Theorem, 12^2+y^2=x^2.  Since x^2=192, we know that 144+y^2=192.  Subtracting 144 from both sides, we see that y^2=48, so y=4 \sqrt{3}.
5 0
3 years ago
Is 2x^2+2x+13 linear?
il63 [147K]
No. It is quadratic since it would cross the x-axis twice
4 0
4 years ago
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Suppose the coefficient matrix of a system of linear equations has a pivot position in every row. Explain why the system is cons
mestny [16]

Answer: A.

The system is consistent because the rightmost column of the augmented matrix is not a pivot column.

Explanation: a system is consistent if and only if the rightmost column of the augmented matrix is not a pivot column. Since every column of the coefficient matrix is a pivot column, none of the leading coefficients are in the rightmost column of the augmented matrix. Therefore the rightmost column of the augmented matrix cannot be a pivot column and the system must be consistent.

8 0
4 years ago
Simplify the expression <br> 9− 3(2)2
Kazeer [188]

Answer:

-3

Step-by-step explanation:

9-3(2)2

9-(6)2

9-12

-3

3 0
3 years ago
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Expand: -1/3(-2x-21)
SSSSS [86.1K]

Answer:

Step-by-step explanation:

Simplifying

3(2x + -1) = 21

Reorder the terms:

3(-1 + 2x) = 21

(-1 * 3 + 2x * 3) = 21

(-3 + 6x) = 21

Solving

-3 + 6x = 21

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + 6x = 21 + 3

Combine like terms: -3 + 3 = 0

0 + 6x = 21 + 3

6x = 21 + 3

Combine like terms: 21 + 3 = 24

6x = 24

Divide each side by '6'.

x = 4

Simplifying

x = 4

6 0
3 years ago
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