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Nata [24]
3 years ago
13

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance

beam.
A. + 7 = 12; x = 5
B. x = 5 + 7; x = 12
C. x + 5 = 7; x = 2
D. x + 7 = 5; x = -2

Mathematics
1 answer:
Murljashka [212]3 years ago
5 0

Answer:

C

Step-by-step explanation:

We can notice that the balance beam has in one side 7 balls and in the other one 5 balls and a square

The balance beam is balenced

Let x be the square mass

  • x+5 = 7            substract five from each side
  • x+5-5 = 7-5
  • x = 2

The solution is 2

C fits perfectly what we prooved

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Step-by-step explanation:

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3 years ago
Use an inverse matrix to solve for the system of equations.
IrinaK [193]

Answer:

(-1, 7, 2)

Step-by-step explanation:

we suppose that ax + by + cz = d for the matrix

D = det [ 0    4     7] = 100

              -6   0    -2

               1    2     8

Dx= det [ 14    4     7] = - 100

               10   0    -2

               -3    2     8

Dy= det [ 0    14    7] = 700

               -6   10    -2

                1    -3    8

Dz = det [ 0    4    14] = 200

               -6   0     10

                1    2     -3

So the solution is:

x = Dx/D = -1, y = Dy/D= 7, z =Dz/D = 2

(-1, 7, 2)

have a good day!

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2 years ago
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Answer:

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Step-by-step explanation:

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