Let sin(2x)-sin(x)=0, where 0 ≤ x < 2pi. What are the possible solutions for x?

Answers

Answer 1

Step-by-step explanation:

sin2x - sinx = 0

2sinxcosx - sinx = 0

(Double Angle Formula)

sinx(2cosx - 1) = 0

Either sinx = 0 or cosx = 1/2.

When sinx = 0,

x = 0 or x = π.

When cosx = 1/2,

x = π/3 or x = 5π/3.

Hence the solutions are

x = 0, x = π/3, x = π or x = 5π/3.


Related Questions

Bella measured the heights of her corn stalks in centimeters. The heights are 81, 88, 69, 65, 87.
What is the mean height of Bella's corn stalks?
A. 69 cm
B. 75 cm
C. 78 cm
D. 80 cm
E. 81 cm

Answers

It would be E I’m not sure but maybe

a machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.


Based on the graph, how many labels are produced per minute?

50 labels/minute
75 labels/minute
100 labels/minute
150 labels/minute​

Answers

Answer:

150 labels/ minute

Step-by-step explanation:

As you can see on the graph there is a point on (1,1 1/2)=150/1

Also 150*2=300 so it all makes sence

Solve 3(x − 4) = 12x
x=?

Answers

Answer:

im pretty sure the answer is eight!

Step-by-step explanation:

Answer:

x = -4/3

Step-by-step explanation:

[tex]3(x-4)=12x\\\\3x-12=12x\\\\3x-12+12=12x+12\\\\3x=12x+12\\\\3x-12x=12x-12x+12\\\\-9x=12\\\\\frac{-9x=12}{-9}\\\\\boxed{x=-\frac{4}{3}}[/tex]

Hope this helps!

2x + 5y = 6
find the x-intercept of the line

Answers

Answer:

X=-2.5+3

Step-by-step explanation:

2x + 5y = 6

2X=-5Y+6

X=-2.5Y+3

A Solution of the equation,
3x2 + 2x + 1 = 0 is

Answers

Answer:

x = -3.5

Step-by-step explanation:

POE = PROPERTY OF EQUALITY

3*2 + 2x + 1 = 0

6 + 2x + 1 = 0 ## ^ Multiplication

7 + 2x = 0 ## ^ Combine like-terms

2x = -7 ## ^ Subtraction POE

x = -3.5 ## ^ Division POE

Answer:

X=0

Step-by-step explanation:

Use PEMDAS to get rid of some things. Do 3 x 2 = 6. Then distribute the like terms to one side seperating 2x and "0": +1 ---> 0-1 = -1. Now divide... 2x/2 = x (cancels out) and 0/2 = 0. Therefore X=0. But I'm not a computer so double check your answer.

What operation would you use to solve: x+7=10

Answers

Answer:

x=3

Step-by-step explanation:

x+7=10

x+7-7=10-7

x=3

Answer:

You would use subtraction

Step-by-step explanation:

To get 7 away, you need to subtract it

25 x 10^9 in standard form

Answers

Answer:

25000000000

Step-by-step explanation:

What is the value of y

Answers

I did something like this but I forgot:(

To be able to go on a trip to South America, Salma decides to save for 2 years. She opens a savings account with $700 . The account pays simple interest at an annual rate of 5% . She doesn't make any more deposits.

(a) How much total interest will Salma earn?

(b) What will the total amount in the account be (including interest)?

Answers

Answer:

(a) I'm pretty sure it's $71.75

(b) the total would be $771.75 if i calculated it right...

please help√√√:-) 1111

Answers

Answer: 1246 for the first and 1400 for the second

Step-by-step explanation:

i need help with this. im confused.​

Answers

Ok you have to put 0000000000

A ship leaves port at 1 pm traveling north at the speed of 30 miles/hour. At 3 pm, the ship adjusts its course on a bearing of N 20º E. How far is the ship from the port at 4pm?

Answers

It was not until the end of the day I will be able to get the most out of the way ↕️ the first place in the first half of the season ⛄ and a few others are doing it is not the only one who has a lot of very high quality of care and treatment for me and the second is a very nice, but it does was the only thing I do you know that you can get the best out there that can be used for the first time in a long time, but I think it is a very nice and the other hand, the more I think about it, I was able to get the most out of your way to a new study by its is the only one who has a very nice to be able to get the most from a variety of different types of people and a few others.

Write the following in standard form:
Write
A = 4
B = 2
C = 7

Answers

Answer:

4x + 2y = 7

Step-by-step explanation:

The standard form equation goes as follows: Ax + By = C

We know what A, B, and C is so all we need to do is fill them in.

HELP ASAP YALL- PLS

Answers

Answer: x = 4

Step-by-step explanation:

since it is showing us that the angles are congruent, we know that the smaller triangle is just a scaled-down version of the larger one. in other words, it is the EXACT SAME triangle, just slightly smaller.

so, i redrew them next to each other, so i could compare them easily.

i looked at the corresponding sides that were given, and realized that the side that is 10 on the larger triangle is equal to 5 on the smaller triangle. the side that is equal to 6 on the larger triangle is equal to 3 on the smaller triangle. this concludes that the smaller triangle is exactly half the size of the larger triangle!

so, i figured (using logic) that x must equal 4, simply dividing its corresponding side (with a measure of 8) in half.

hope this helps! xoxo

2s + (-4s) simplify

Answers

Answer:

-2s

Step-by-step explanation:

Answer:

-2s

Step-by-step explanation:

We have: 2s + (-4s)

Take -4s outside of the parentheses and we now have: 2s - 4s

Now subtract and the simplified equation will be: -2s

PLS HELP ASAP I DONT HAVE TIME FOR THIS, IT ALSO DETECTS IF ITS RIGHT IR WRONG

Answers

Answer:

a

Step-by-step explanation:

Sam had 1 1-2 m of rope. He cut off 5-8 m and used it for the project. How much does Sam have left​

Answers

1 1/2 m and 5/8 meter need to have the same denominator in order to subtract.

1 1/2 is equivalent to 12/8
Now 5/8 and 12/8 have the same denominator so you can subtract.
12/8-5/8= 7/8
7/8 m is left

what is the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1)?​

Answers

Answer: The other point is (17, -6).

Step-by-step explanation:

Midpoint (x,y) of the line segment joining (a,b) and (c,d) is given by :-

[tex](x,y) =(\dfrac{a+c}{2}, \dfrac{b+d}{2})[/tex]

Here, we need to find the other endpoint of a segment with one endpoint at(-3, 8) and the midpoint at (7, 1).

Let other point be (a,b), then

[tex](7,1)=(\dfrac{-3+a}{2},\dfrac{8+b}{2})\\\\\Rightarrow\ \dfrac{-3+a}{2}=7\ \text{ and }\dfrac{8+b}{2}=1\\\\\Rightarrow\ -3+a = 7\times2 \text{ and } 8+b=1\times2\\\\\Rightarrow\ -3+a=14\text{ and }8+b=2\\\\\Rightarrow\ a=14+3, \ \ \ b= 2-8\\\\\Rightarrow\ a=17, b= -6[/tex]

hence, the other point is (17, -6).

Identify the horizontal asymptote of each graph.
y = 0
y = 1
y = 6

Identify the horizontal asymptote of each graph.
y = 0
y = –3
y = –5

Answers

Answer:

y = 0 and y = -3

Step-by-step explanation:

The horizontal asymptote of each graph is:

1. y=0

2. y= -3

What is asymptote?

An asymptote of a curve y = f (x) that has an infinite branch is called a line such that the distance between the point (x, f (x)) lying on the curve and the line approaches zero as the point moves along the branch to infinity.

1.Given function:

 t(x)= [tex]6^{x}[/tex]

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 6^{x}[/tex]= 0

Hence, the asymptote will by y=0.

2. Given function:

t(x)= [tex]5^{x}[/tex]-3

If we apply limit x→∞, then we get y=c as horizontal asymptote

So, [tex]\lim_{x \to \infty} 5^{x} -3[/tex]= -3

Hence, the asymptote will by y=-3.

Learn more about asymptote here:

https://brainly.com/question/4608493

#SPJ2

Pleasse Helppp Asapppp.

Answers

Answer:

77 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

subtract 103 from 180 to get 77 degrees

A line has the slope of 5/3
Which of the following points could this line pass through?
o (15, 13) and (0, 4)
(3,9) and (6, 14)
o (0, 4) and (19,9)
o (5, 7) and ( 10, 10)
1 2 3 4

Answers

Answer:

(3,9) , (6,14)

Step-by-step explanation:

9 + 5 is 14

3 + 3 is 6

Answer:(3,9) , (6,14)

Step-by-step explanation:

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
8x – 6y = 54

Answers

y = 4/3x - 9
Hiiiiiiiiii

How many kilometers are there in 4 miles?

Hint: 1 mi ≈ 1.6 km

Round your answer to the nearest tenth.

Answers

There are 6.4 Kilometers in 4 miles

Complete each statement with a number that makes the statement true.



_____ < 7°C



Do not include units (°C) in your answer.



copied for free from openupresources.org


Select one:
15
8
4
10

Answers

Answer:

4

Step-by-step explanation:

the answer is: 4

cause 4 is less than 7

What is the perimeter of a square with a length of 19 meters?

Answers

The answer is b 38cm

Answer:

76 m

Step-by-step explanation:

If each side has a length of 19 m, then the perimeter is 19m*4 = 76 m

Find the slope of the line from a graph! Will Give brainliest :)

Answers

Answer:

-4

Step-by-step explanation:

because the line is going from top to bottom it is negative

you take the rise ( the Y value) / the run (the X Value)

the Y and X value can be pulled from any two points

The diameter of a circle is 16 yards. What is the circle's area?
d=16 yd
Use 3.14 for n.

Answers

Answer: D=16km

r=8km

circumference of a circle= 2πr

                                     = 2*3.14*8

                                     =50.24km

 P.S 3.14 is used as the value for π (pie)

Step-by-step explanation:

brianna caught 4 fish . gabi caught 8 times as many fish as brianna. which expression shows how many fish gabi caught

Answers

Answer:

multiplication

Step-by-step explanation:

brianna=4

gabi=8 x brianna

If 6x+3y=−1 and
5x+y=8 are true equations, what would be the value of
−x−2y?

Answers

Answer:   9

x = 2.778

y = -5.889

-x -2y

= -2.778 - 2(-5.889)

= 9

What is the slope of the line y=8?

Answers

Answer:

undefined or 0

Step-by-step explanation:

Answer:

The answer is 0 because undefined is straight up or vertical

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