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alexandr402 [8]
3 years ago
10

I need to know how to work This

Mathematics
1 answer:
Natalija [7]3 years ago
5 0
See picture for the steps

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How many different ways can the first 10 letters of the alphabet be arranged?
yuradex [85]

Answer:

3628800

Step-by-step explanation:

First letter can be chosen form all 10, next from 9, third from 8 and so on, until you have only one number left.

So the number of ways to arrange the letters can be calculated as

n=10×9×8×7×6×5×4×3×2×1=362800

4 0
3 years ago
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
3 years ago
The length of a rectangular picture frame is 4 inches shorter than its width. If the perimeter of the picture frame is 44 inches
Vladimir [108]

Answer:

11

Step-by-step explanation:

44*4=44

4 0
2 years ago
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rjkz [21]

Answer:

Wait does it mean the actual real life distance or the distance on paper?

Step-by-step explanation:

If its real like just google it lol.

5 0
2 years ago
PLEASE HELP ME THANK YOU Question 6
trapecia [35]
The answer it’s (A) -10
3 0
3 years ago
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