A system of equations can be solved by elimination in the table below. Does the system of equations on line 4 have the same solu
tion set as the system of equations on line 1? why or why not?
1 answer:
Answer:
Full question attached below.
Yes, the system of equations on line 4 has the same solution set as the system of equations on line 1
Step-by-step explanation:
There is no difference between the systems of line 1 and 4
1st system
5x + 3y = 14
4x - 2y = -2
4th system
10x + 6y = 28
12x - 6y = -6
In the fourth system, we factor number 2 from the first line, and number 3 from the second line
4th system
2[5x + 3y] = 2[14]
3[4x - 2y] = 3[-2]
If we simplify,
4th system
[5x + 3y] = [14]
[4x - 2y] = [-2]
We get the same system as the 1st
Therefore, the solution is the same.
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Answer:
60,480 is the correct answer.
Step-by-step explanation:
First of all, let us have a look at the <em>formula of factorial of a number 'n'</em>:
i.e. multiply n with (n-1) then by (n-2) upto 1.
<em>Keep on subtracting 1 from the number and keep on multiplying until we reach to 1.</em>
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So, can be written as:
Similarly can be written as:
Re-writing :
Now, the expression to be evaluated:
Following refers to the annotated image:
Imagine yourself looking from the top, then the cube shaded blue will be cube 13. We call this the origin.
After that, follow the 3-D view, move 1 up shades cube 9.
move 1 right gives the cube 10
move another right -> cube 11
move one up -> cube 7
another up -> cube 3
Finally, move one right -> cube 4
Final answer: see image
Imagine yourself looking from the top, then the cube shaded blue will be cube 13. We call this the origin.
After that, follow the 3-D view, move 1 up shades cube 9.
move 1 right gives the cube 10
move another right -> cube 11
move one up -> cube 7
another up -> cube 3
Finally, move one right -> cube 4
Final answer: see image