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3 years ago

12

Solve for w. = w-2/3=18 - 3w+18/2 Simplify your answer as much as possible.

1 answer:

mart [117]3 years ago

8 0

I have a screenshot of the answer

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9sin(2x) sin (x) = 9cos(x)

nikdorinn [45]

Answer:

$\sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z$

8 0

2 years ago

The price of rail tickets increased by 5%

Arte-miy333 [17]

5% = 2.30pounds
2.30 ÷ 0.05 = 46 pounds

7 0

3 years ago

The point A (5,11) is reflected across the x-axis. How long is the segment AA'?<br>

Nikitich [7]

Answer: The required length of the segment AA' is 11 units.

Step-by-step explanation: Given that the point A(5, 11) is reflected across the X-axis.

We are to find the length of the segment AA'.

We know that

if a point (x, y) is reflected across X-axis, then its co-ordinates becomes (x, -y).

So, after reflection, the co-ordinates of the point A(5, 11) becomes A'(5, -11).

Now, we have the following distance formula :

The DISTANCE between two points P(a, b) and Q(c, d) gives the length of the segment PQ as follows :

$PQ=\sqrt{(c-a)^2+(d-b)^2}.$

Therefore, the length of the segment AA' is given by

$AA'=\sqrt{(5-5)^2+(-11-11)^2}=\sqrt{11^2}=11.$

Thus, the required length of the segment AA' is 11 units.

7 0

3 years ago

Solve for N <br><br> (x^3)^3 = x^n

3241004551 [841]

Answer:

9

Step-by-step explanation:

$( { {x}^{3}) }^{3} = {x}^{3 \times 3}$ thus n=3×3

which is equal to 9

4 0

3 years ago

ch4aika [34]

$slope = \frac{y1 - y2}{x1 - x2}$

$slope = \frac{ya - yb}{xa - xb} \\ \\ slope = \frac{18 - 2}{ - 3 - 5} = \frac{16}{ - 8} = - 2$

So B is the correct answer

7 0

3 years ago