How many solutions does the equation −2a + 2a + 7 = 8 have?

One
Two
None
Infinitely many

I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,

[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]

and I assume you're supposed to establish an identity.

Recall the double angle identities for cos and sin :

cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1

sin(2α) = 2 sin(α) cos(α)

Now expand the left side as

(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)

Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :

… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]

Cancel the factors of 1 + 2 cos(α) :

… = sin(α) / cos(α)

which is equivalent to

… = tan(α)

by definition of tan.

Answer:

Answer is 5

Step-by-step explanation:

x+2x+3x=30

6x=30

x=5

Step-by-step explanation: D. 20

Answer:

13/2

Step-by-step explanation:

2x-8=5

2x=5+8

2x=13

x=13/2

hope it helps

Answer:

The second one doesn't match.

Answer: y<x-1

Step-by-step explanation:

So first we have to find the blue line. y=mx+b is the equation. For slope it is 0--1 which is 1 and 1-0 which is 1 so the slope is just one or x now we need to find the y intercept which is just -1. So y<(is less than)x-1! Hope this helps :)

Answer:

As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:

d1 = 44 / tan(60) = 25.403 m

For point2:

d2 = 44 / tan(30) = 76.210 m

The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.

The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

Answer:

LCM=4

4x3 /4 x 3/4 (x+21)=101/2x4

multiply through by the lcm

3x=20-21

3x/3=-1/3

the answer is-1/3

hope it helps

Answer:

In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.

Answer:

Uphill slopes are positive slopes.

The slope will be a positive number like 5 or 2/3.

Downhill slopes are negative slopes.

The slope will be a negative number like -7 or -1/3.

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

This is because a rectangle can be divided into two triangles.

Answer:

The answer is 60x500=30000

Step-by-step explanation:

30000 is your answer

Answer:

A x>9

Step-by-step explanation:

add 4 to both sides and ta da

Answer:

x>9

Step-by-step explanation:

you move the negative 4 to the other side to get it away from x so then you can find the answer.

Hope this helps:)

Answer:

250

Step-by-step explanation:

100 / 22 = 4.54545455

4.54545455 x 55 = 250

Answer: 250

Step-by-step explanation:

Ur welcome

(55x100)/22

Answer:

e

Step-by-step explanation:

e

Answer:

6

Step-by-step explanation:

Answer:

A-(-5) = A+5

it is the answer

Answer:

a-(-5)

Step-by-step explanation:

Since it's originally an addition question but you want to write it as a difference (subtraction) question, you would use double negative signs. Whenever there are two double negatives next to each other, it counteracts and becomes a positive sign, however you still wrote it as a subtraction question.

Hope this helps

Answer: 15 10

Step-by-step explanation:                        

Answer:

y=2x

Step-by-step explanation:

2   1

4   2

6   3

Answer:

127 ft 3 3/8in

Step-by-step explanation:

Assuming the field is regulation (I can't see the model), the answer is 127 feet and 3 3/8 inches.

Answer:

F

Step-by-step explanation:

Answer:

1/4+1/4+1/4+1/4+1/4+1/4= 1.5

3/10x2/3= 0.2

2/4x2/3= 0.33333333333  (just put 0.3 with a line on top of the 3)

6 divided by 1/2 = 12/1 or 12

9 divided by 1/3 = 27/1 or 27

2/5 divided by 3/4 = 8/15

1/2 divided by 2/3 = 3/4

9514 1404 393

Explanation:

Use the identities ...

  csc(x) = 1/sin(x)

  cot(x) = cos(x)/sin(x)

__

  [tex]\csc(x)(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{1}{\sin(x)}(\sin(x)+\cos(x))=1+\cot(x)\\\\\dfrac{\sin(x)}{\sin(x)}+\dfrac{\cos(x)}{\sin(x)}=1+\cot(x)\\\\1+\cot(x)=1+\cot(x)[/tex]

Answer:

$1.53 for tax

Step-by-step explanation:

18 times .085 = 1.53

Answer:

48

Step-by-step explanation:

30 is 5/8 of ?

30x8=240

240/5=48

(18 Math teachers and 30 non-Math teachers)

Answer:

In order to solve this problem, you have to find the lowest common denominator.  Take multiples of both 6 and 4 and see which is the lowest you have in common.

4: 4, 8, 12, 16, 20

6: 6, 12, 18, 24

So 12 is the lowest common multiple....

5/6 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

3/4 x ?/? = ?/12 (you have to multiply the numerator and the denominator by the same number)

When the denominators are the same, you can subtract the numerators.  The denominator will stay 12!

Step-by-step explanation:

YAY! I want a brain

Answer:

Exact Form: 19/12

Decimal form:1.583

Mixed number form: 1 7/12

Step-by-step explanation:

hope i was right!

Answer:

She'll have $661 in the account in 2022.

Step-by-step explanation:

Compound interest:

The amount of money earned in compound interest after t years is given by the following equation:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which A(0) is the initial amount and r is the interest rate, as a decimal.

Rachael started off with $400. It earns 3% interest each year.

This means that [tex]A(0) = 400, r = 0.03[/tex]

So

[tex]A(t) = A(0)(1+r)^t[/tex]

[tex]A(t) = 400(1+0.03)^t[/tex]

[tex]A(t) = 400(1.03)^t[/tex]

She wants to know how much money she'll have in the account in 2022.

17 years after 2005, which means that this is A(17). So

[tex]A(17) = 400(1.03)^{17} = 661[/tex]

She'll have $661 in the account in 2022.

Answer:

K=7

Step-by-step explanation:

hope it helps you

have a wonderful day!!!