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Deleting questions is completely unacceptable. Some members have been banned for doing this.

I would never answer a question that was presented like this.

Your numbers are missing. 

Be careful to proofread your questions.

1. Angle  α lies in quadrant II , and tanα=−12/5 . Angle  β lies in quadrant IV , and cosβ=3/5 .

What is the exact value of cos(α+β) ?

Enter your answer in the box.

Remember that 

sin(angle) is the y value over the hypotenuse.

cos(angle) is the x value over the hypotenuse.

\(tan(angle)=\frac{sin(angle)}{cos(angle)}=\frac{y}{x}\)

Here is a pic that should help:

and 

\( cos(\alpha+\beta)=cos\alpha cos\beta - sin\alpha sin\beta \\ \)

Now see if you can work it out yourself.   :)

Yes, that looks right to me :)

No, you cannot have the answer. I have already done the hard part.

If you cannot finish it then your teacher needs to know.

It means you are in the wrong class or she/he is teaching at an inappropriate level.

You rearrange it by expanding both sides separately.

And then take everything over to one side and put it equal 0.

Hi Catarina,

It is nice to meet you.

The part you have answered is almost correct but you have forgotten that the letter can be in any place.

There are 4 places. So your answer needs to be multiplied by 4.

For a: substitute 60 for t and solve.

For b: find the first derivative, substitute 30 for t, and solve.

Wait shouldnt it just be 60/100 since 30/50 equals 60/100 and 60/100 equals to 60%? This is since the first line about the boys should be ussles right?

Thank you very much!!!!

Thank you so much!! Really apreciate it!

Have you graphed both of the lines to see the figure ?   try that first....

Here is the graph:

https://www.desmos.com/calculator/htrxqzjmw5

What !?     You only have    wavelength and frequency.....       f = c/lambda      f*lambda = C    or    f * (wavelength) = Speed of light

Amplitude can be anything....depends on the power put into the wave

Aww.....c'mon.....you're kidding me, right?  

(18 + c )t  =4     18t + ct = 4

(18-c) t = 2        18t - ct  = 2     add together

                          36t = 6       t  =  6/36   = 1/6 hr

(18 + c) ( 1/6) = 4

   3 + 1/6  c = 4

                c= 6 m/hr

The equation of the line is y = 2x - 4     or    0 = 2x - y - 4

      everything in the yellow area (including the line itself)

          would be less than  this line

                    2x - y - 4 >=0            a,b and c are integers and have no common factor  greater than 1 

Here is a graph:

https://www.desmos.com/calculator/cq8gtx2vek

Assuming it is a circular shaped button

area of circle = pi r^2

50.24 = pi r^2

sqrt (50.24/pi) = r

x^2+2x     +y^2-6y =6      complete the square on x and y

(x+1)^2     + (y-3)^2 =  6 +1 +9= 16=4^2

this is a circle with   r= 4          area of a circle = pi r^2

Sorry, but that is not right...

How would I rearrange it? Sorry to bother you...

can i have the answer

Equation of line: y = 3x - 4

Test origin: (0,0), LHS = 0, RHS = -4, so LHS > RHS

The origin is not in the region ==> Correct inequality y <= 3x - 4

Final answer: 3x - y - 4 >= 0

For each number, there are ten choices. For each letter, there are \(26\) choices. 

To get the number of passwords for the old website, multiply the number of choices possible for each character: 

\(10 \cdot 10 \cdot 10 \cdot 26 = 26000\)

To get the number of passwords for the new website, you can do the same with the choices for each character of the new passwords. 

I am not going to give you the answer, because if I did that, you would not learn how to do the problem. You have to figure out how to do the problem from the steps I gave you. 

I hope this is helpful,

Catarina