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2 years ago

On 10.

Mathematics

1 answer:

IceJOKER [234]2 years ago

3 0

Answer:

Step-by-step explanation:

We're looking for a number (x) that's less than 44

We can represent it by simply using the less sign, so x < 44

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

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:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

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:

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

7 0

3 years ago

Which function corresponds with the table?

8_murik_8 [283]

putting all points in equation of option B satisfies the table . so ans is option B

8 0

3 years ago

Read 2 more answers

Find the value of y: 8y(4y+24)

Ray Of Light [21]

Answer:

32y² + 192y

Step-by-step explanation:

First, we need to distribute 8y. This gets us 32y²+192y. I do not believe you can simplify that. I hope this helps!

3 0

3 years ago

Read 2 more answers

Solve for y: 3d = 7y + 5

pogonyaev

Answer:

d = $\frac{7y+5}{3}$

Step by step explanation:

3d = 7y+5

Divide both sides by 3

$\frac{3d}{3}$ = $\frac{7y}{3}$ + $\frac{5}{3}$

Simplify

$\frac{7y+5}{3}$

7 0

2 years ago

Describe the graph of y = |x - 2| + 4

Usimov [2.4K]

Answer:

Step-by-step explanation:

Note that this function resembles the absolute value function y = |x|.

The graph of y = |x| has its vertex at (0, 0) and opens up in a v-shape.

The graph of y = |x - 2| looks the same as that of y = |x|, but the entire graph has been translated 2 units to the right.

The graph of y = |x - 2| + 4 is that of y = |x - 2|, translated 4 units up.

3 0

3 years ago