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8_murik_8 [283]
2 years ago
8

Find a. Write your answer in simplest radical form.

Mathematics
1 answer:
NeTakaya2 years ago
3 0

Answer:

\sin(60)  =  \frac{5 \sqrt{3} }{a}  \\  \\  \frac{ \sqrt{3} }{2}  =  \frac{5 \sqrt{3} }{a}  \\  \\ a =  \frac{2 \times 5 \sqrt{3} }{ \sqrt{3} }  \\  \\ a = 10

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Given the following system of equations: 2x + 6y = 12 4x + 3y = 15 Which action creates an equivalent system that will eliminate
Charra [1.4K]

Option A and B are correct.

Step-by-step explanation:

We are given the following systems of equation:

2x + 6y = 12 \\4x + 3y = 15

We need to identify the action creates an equivalent system that will eliminate one variable when they are combined.

Checking the options:

a) Multiply the second equation by −2 to get −8x − 6y = −30

If we add equation(1) and the new equation(2) the variable y will be eliminated. So, this is the correct option.

b)  Multiply the first equation by 2 to get 4x + 12y = 24.

If we subtract new equation(1) and equation(2), the variable x will be eliminated. So, this is the correct option.

c) Multiply the second equation by −4 to get −16x − 12y = −60

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

d) Multiply the first equation by −4 to get −8x − 24y = −48.

By adding or subtracting, none of the variable is eliminated. So, it is not the correct option.

So, Option A and B are correct.

Keywords: Solve System of equations

Learn more about solving system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/2115716
  • brainly.com/question/13168205

#learnwithBrainly

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