please help me simplify this​

Please Help Me Simplify This

Answers

Answer 1

Step-by-step explanation:

Given

sin(α+β) cos(α-β) +cos(α+β) sin(α -β)

We can see it is in the formula of

sin(A + B) = sinA cosB + cosA sinB

So now

Sin ( α + β + α - β)

= sin 2α

Or we can write sin2α as

= 2 sin α * cos α

Hope it will help :)❤


Related Questions

-4x>6y - 54


I’m not sure how to completely solve this

Answers

Solving for X:

1) Divide both sides by-4.

[tex]x < - \frac{6y - 54}{4} [/tex]

2) Factor out the common term 6.

[tex]x < - \frac{6(y - 9)}{4} [/tex]

3) Simplify 6(y-9)/4 to 3 ( y - 9) / 2.

[tex]x < - \frac{3(y - 9)}{2} [/tex]

Therefor, the answer for x is x < - 3(y - 9)/2.

Solving for Y:

[tex] - 4x + 54 > 6y[/tex]

[tex] \frac{ - 4x + 54}{6} > y[/tex]

[tex] \frac{ - 2(2x - 27)}{6} > y[/tex]

[tex] - \frac{2(2x - 27)}{6} > y[/tex]

[tex] - \frac{2x - 27}{3} > y[/tex]

[tex]y < - \frac{2x - 27}{3} [/tex]

Therefor, the answer for Y is y < - 2x-27/3.

I WILL GIVE BRAINLIEST!!!

NO SENDING ME LINKS!!!

Answers

Answer:

N(t)=52(9/7)^t

Step-by-step explanation:

hope it's helpful..

have a great day

how do you solve fire x.

Answers

Answer:

x = 10

Step-by-step explanation:

Sum of all the angle of triangle = 180

71 + 50 + 6x - 1 = 180

71 + 50 -1 + 6x = 180

    120  + 6x   = 180

            6x = 180 - 120

           6x = 60

             x = 60/6

x = 10

Find the solution to this equation - 3x + 32 - 7x = -2 (5x + 10)
Remember the steps
1. Distribute
2. Combine like terms on the left side
3 Pick sides variables = constants
4 Move terms that don't belong by doing the opposite operations
5 Decide what the statement means If it's always true write "infinitely many solutions." If it's always false, write "no solutions."​

Answers

Answer:

[tex]x =\frac{-26}{3}[/tex]

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x+32−7x=−2(5x+10)

3x+32+−7x=(−2)(5x)+(−2)(10)(Distribute)

3x+32+−7x=−10x+−20

(3x+−7x)+(32)=−10x−20(Combine Like Terms)

−4x+32=−10x−20

−4x+32=−10x−20

Step 2: Add 10x to both sides.

−4x+32+10x=−10x−20+10x

6x+32=−20

Step 3: Subtract 32 from both sides.

6x+32−32=−20−32

6x=−52

Step 4: Divide both sides by 6.

6x

6

=

−52

6

x=

−26

3

Is 499.50 great than or less than 499.05?

Answers

Answer:

greater

Step-by-step explanation:

HELPPP PLSS What is the solution to the equation

Answers

Answer:

[tex]a=3\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]a+5\frac{2}{3} =9[/tex]

[tex]a+5\frac{2}{3}-5\frac{2}{3}=9-5\frac{2}{3}[/tex]

[tex]a=3\frac{1}{3}[/tex]

20 POINTS When an alternating current of frequency fand peak current lo passes through a resistance R, then the power delivered to the
resistance at time t seconds is P = ZoRsinº2 5ft
Write an expression for the power in terms of cos 2 sett.

Answers

P = ZoRsinº2 5ft is correct answer

Answer:

Letter D

Step-by-step explanation:

Edge2021

Could you guys please help me solve this basic math. PLS OMG ITS DUE :(

Answers

the answer is -7. 21- -3=-7

Which point is on the graph of f(x) = 5^x

Answers

Answer:

B (1,5)

Step-by-step explanation:

WILL GIVE BRAINLIEST

Answers

Answer:

The answer is A.

A is where the lines intersect.

Answer:

the answer is a. (2,6)

Solve the following system of equations graphically on the set of axes below.
y=1/6x+5

y=-3/2x-5

Answers

Answer:

(X,y)=(15/2,25/4) thanks for all the answers

Answer:

y=1/6x+5 -> plot points (-6,4),(0,5),(6,6)

y=-3/2 x -5 -> plot (-2,-2),(0,5),(2,-8)


Plot about 3 points for each line and connect them

Y=1/6 x +5
(Y=4)
4=1/6x+5
-1=1/6x
X=-6

(-6,4)

(Y=5)
5=1/6x+5
0=1/6x
x=0

(0,5)

Y=6
6=1/6x +5
1=1/6 x
X=6
(6,6)

Line y=1/6x+5 plot points (-6,4),(0,5),(6,6)


Y=-3/2 x -5
(Y=-8)
-8=-3/2 x -5
-3=-3/2 x
6=3x
x=2

(2,-8)

(Y=-2)
-2=-3/2 x -5
3= -3/2 x
-6=3x
x=-2

(-2,-2)

(Y=-5)
-5=-3/2 x -5
0=-3/2 x
x=0

(0,-5)

Line Y=-3/2 x -5 plot (-2,-2),(0,5),(2,-8)

20 POINTS Find the diameter?? Pls help I dont know what to do..

Answers

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

50 points Help Please!!!! Solving angle word problems with complementary and supplementary angles

Will give brainliest and 20 points!!!!!!

Answers

7 meters

Step-by-step explanation:

A right rectangular prism has a length of 9, a width of 4, and a height of 5. How many unit cubes can fit in the prism?

Answers

Answer:

The answer is 54 cubes.

Step-by-step explanation:

Question 1 (1 point)
Write the slope-intercept form of the equation of the line through the given points.

Answers

Answer:

The answer would be (B) .

I need help solving this worksheet for corrections, I’m stuck.

Answers

Answer:

wasting ur time like u wasted mine

Step-by-step explanation:

1. What is the solution of the system
{3x - y = 14
{4x + y = 21 ?
A (−5, 3)
B (4, −2)
C (5, 1)

Answers

Answer:

C

Step-by-step explanation:

3x-y=14

4x+y=21

add

7x=35

x=35/7=5

4×5+y=21

y=21-20=1

so (5,1 ) is the solution.

-3|x|+2x-1 if x=-5
i need help with this or else i will not get my computer

Answers

Answer:

-26

Step-by-step explanation:

Hello There!

For this problem all we have to do is plug in -5 into x and calculate the value

so..

-3|-5|+2(-5)-1

so first things first | | means absolute value

The absolute values of -5 is 5 so the equation would be

-3(5) + 2(-5) - 1

-3*5=-15

2*-5=-10

-15-10=-25

-25-1=-26

so the answer would be -26

A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work to save at least $165?

Answers

Answer:

Step-by-step explanation:

[tex]10.6h+53.7\ge 165\\ \\ 10.6h\ge 111.3\\ \\ h\ge 10.5[/tex]

help me i mark brain thing help due in 5 minutes

Answers

Answer:

A: 1

B: 17

C: 26

D: 42

E: 57

Step-by-step explanation:

Lincoln is saving $360 to buy a new bike. he already has $85 and can earn $12 per hour at work. which of the following equation describes the number of hours, h, for which Lincoln must work to earn enough money to buy the new bike?

Please help

Answers

Answer:

its c

Step-by-step explanation:

X/-2 - 4 < 2
what is x?

Answers

Answer:

x>-12

Step-by-step explanation:

x/-2-4<2

x/-2<2+4

x/-2<6

x<6(-2)

x<-12

x>-12

Given ON, what is mABC ?

Answers

Answer:

personally, I would say try using the formula you were taught because there are different ways people do things

Step-by-step explanation:

formula is key

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Answers

Answer:

Width = 18 inches

Length = 59 inches

Step-by-step explanation:

The length of a rectangle is five more than triple the width. If the perimeter is 154 inches, what are the dimensions

Perimeter of a rectangle = 2L + 2W

The length of a rectangle is five more than triple the width.

L = Length = 5 + 3W

W = Width

If the perimeter is 154 inches, what are the dimensions

Hence,

154 = 2L + 2W

154 = 2(5 + 3W ) + 2W

154 = 10 + 6W + 2W

Collect like terms

154 - 10 = 8W

144 = 8W

W = 144/8

W = 18 inches

Length = 5 + 3W

Length = 5 + 3(18)

Length = 5 + 54

Length = 59 inches

A 12 foot ladder is placed against the side of the building. The base of the ladder is placed at an angle of 68° with the ground for secure footing. How far is the base of the ladder from the side of the building? Round to the nearest tenth of a foot.​

Answers

Answer:

Step-by-step explanation:

A

I need these answers please!

Answers

Answer: y-3x+4 = slope: 3 y-intercept: (0,4), you graph the equation on the line using the slope and y-intercept.

y=x+4 = slope: 1 & same y intercept.

Step-by-step explanation:

7. An example for using estimation would be:
O O O O
A) counting back change
B) depositing money in the bank
C) guessing the number of pennies in a jar
D) counting the number of dollar bills in your wallet.

Answers

Guessing the number of pennies in a jar
The answer should be c I hope it helps My friend have a nice day

A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?
IN% of the values are from 4 to 7.
(Type an integer or a decimal.)

Answers

Answer:

49.865%

Step-by-step explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%

An expression is shown.1608 ÷ 268 What is the value of the expression? When entering the answer, use numbers only.

Answers

Answer:

6

Step-by-step explanation:

We are to divide 1608 by 268

1608/268

4 can divide both the numerator and denominator. So divide  the numerator and denominator by 4

This gives 402 / 67

Th 67 multiplication table

67 x 1 = 67

67 x 2 = 134

67 x 3 = 201

67 x 4 = 268

67 x 5 = 335

67 x 6 = 402

the value of the expression would thus be 6

If $42,000 is invested at 7% in a savings account for 8 years, what is the final amount monthly and continuously?

Answers

Answer:

7,000

Step-by-step explanation:

so I think u divide $42,000 by 8 and then by 7%.

yea

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