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3 years ago

Please help :(( i will mark brainliest

Mathematics

1 answer:

MrMuchimi3 years ago

6 0

Answer:

See explanation

Step-by-step explanation:

x <= 3.9 means that x is less than or equal to 3.9

So lets look at each value:

x = 4.1 4.1 is not less than or equal to 3.9, so x = 4.1 is not a part of the solution set

x = -3.9 -3.9 is less than or equal to 3.9, so x = -3.9 is a part of the solution set

x = 3.9 3.9 is equal to 3.9, so x = 3.9 is a part of the solution set

x = 4 4 is not less than or equal to 3.9, so x= 4 is not a part of the solution set

x = 4.3 4.3 is not less than or equal to 3.9, so x= 4.3 is not a part of the solution set

x = 3.8 3.8 is less than 3.9, so x = 3.8 is a part of the solution set

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3 years ago

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Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

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Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

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3 years ago