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wolverine [178]
3 years ago
11

Find all solutions in the interval [0, 2π) for 2 sin^2 x = sin x

Mathematics
1 answer:
Ede4ka [16]3 years ago
4 0

Answer:

D

Step-by-step explanation:

2 sin²x=sin x

2 sin² x-sin x=0

sin x(2 sin x-1)=0

sin x=0

x=0,π

2 sin x-1=0

2 sin x=1

sin x=1/2= sin π/6,sin (π-π/6)

x=π/6,5π/6

You might be interested in
which pair of points forms line that does no intersect the line that passes through the points (5,7) and (7,7)?
Nuetrik [128]

Answer:

(8, -9), (11, -9)

Step-by-step explanation:

The points (5, 7) and (7, 7) are on a horizontal line in which the y-coordinates of all points are 7. The line has equation y = 7.

For a line to not intersect the line y = 7, it must be parallel to y = 7.

The answer is the pair of points which both have the same y-coordinate, and that y-coordinate is not 7.

From the choices you added to your comments, the only choice with two points with the same y-coordinate is (8, -9) and (11, -9). This is the answer.

Answer: (8, -9), (11, -9)

5 0
3 years ago
Read 2 more answers
Kaitlyn wants to buy a T-shirt for $15 and a pair of jeans for $42. She has $58. Which expression will help Kaitlyn find out if
Nonamiya [84]

Answer:

Expression will be 58 - (42 + 15)

Step-by-step explanation:

Kaitlyn has $58

She spent (42+15) = $57 on a T-shirt and pair of jeans

Expression will be 58 - (42 + 15)

4 0
3 years ago
10x−y = 10<br> −2x+ 5y = −2
Viefleur [7K]

Answer:

x=1 & y=0

Step-by-step explanation:

5 0
1 year ago
Find the difference of(ab+8a+1)-(-6ab+4)
vagabundo [1.1K]
Hey there!

When finding the difference of expressions like these, there's a few things you should keep in mind. 

1. When finding the difference of two polynomials, multiply the polynomial that implied to be "negative" by –1 to expand the problem and make it easier to solve. 

2. You combine terms based on their unknown terms, like x, y, x², ab, etc. You cannot combine the terms x and x², but you can combine the terms 6b and 8b by adding them. 

3. You can rearrange your terms however you see fit. If a polynomial is implied as "positive", you can multiply that entire polynomial by +1 to get rid of the parentheses. 

With all that in mind, you can go ahead and solve for your difference, like so:

(ab+8a+1)-(-6ab+4)

(ab+8a+1) (-1(-6ab+4))

(ab+8a+1) + (6ab-4)

ab+6ab+8a+1-4

7ab+8a-3

7ab+8a-3 will be your difference. 

Hope this helped you out! :-)
8 0
3 years ago
Witch set of orderd pairs contains only points that are on the graph of the function y=12-3x
anygoal [31]
You can try then by plotting the points in. 
The answer is C

Make sure by plotting in the points, lets take (-5,27)
y = 12 -3(-5)
y = 12 + 15
y = 27
27 = 27
This is correct 

Lets try (-1,15)
y = 12 -3(-1)
y = 12 + 3 
y = 15 
15 = 15
This is correct 

Lets try (8,-12)
y = 12 -3(8)
y = 12 - 24 
y = -12 
-12 = -12
This is correct too. 

The correct ordered pairs are <span>C(-5,27),(-1,15),(8,-12)</span>
5 0
3 years ago
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