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For #1:

Since a > b, it is longer (in the x-direction) than it is tall (in the y-direction.

If you draw the triangle that starts at the center of the hyperbola (0,0) to the right to the point (a,0) and then up to the point (a,b), you will be drawing a right triangle with the angle at the center of the hyperbola having 30°.

Therefore, a = sqrt(3) and b = 1.

Sorry i forgot to add the graph. It is there now.

  π r² .... no, pie are round .... cornbread are square  

Your y inercept is correct but none of the other answers are right.

Here I have added the centre line.  That shoudl help.

Look at the original answers for y=sinx and then try this new one again.

Hint:

so far you have y intercept =3  whcih is correct.

On the middle line all the y values for every point is 3 so what is the equation of this line ?

Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio x:20. Thus, we can set up the equation as \(\frac{4}{5}=\frac{x}{20}\). Cross multiplication gets us \(80=5x.\) Solving for \(x\) we get that \(\frac{80}{5}=x \to 16=x.\) Now, we know that the number of cats there are is \(\boxed{16}.\)

y-intercept: 3

Amplitude: 4

Centerline Equation: y = 0 [Or is it something like (0, 3)? Just making sure of the "parameters," or is it always a single number?]

Wavelength: (2π, 3)?

Yes that is correct.

Another sin graph

y=sinx      (this is the same as before - it is the PARENT GRAPH)

--------------------------------------------------------------------------------------------------------------------

This one below is for the new questions

y=sinx  +3           This is a comparison one.

I want you to answer the same 4 questions as last time

AND then I want you to tell me how adding the +3 changed the graph.

I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

If a door has a flower on its plant side, then it has a bird on its animal side.

You have to open every door that has a flower on its plant side   --->   so you have to open the door with a lily on it.

An equivalent logical statement is its contrapositive.

If a door does not have a bird on its animal side, the it does not have a flower on its plant side.

You have to open every door that does not have a bird on its animal side   --->   so you have to dopen the door with a fox on it.

You have to open two doors.

You don't have to open the other two doors.

Ohh, I misunderstood. It would be 2π then, yes?

No The WHOLE patern has to start again.

It starts ON the middle line, going UP.

When does that happen again?

I would appreciated if you put the latex into the latex translator.

π/2?

The first three are correct, try the wavelength again.

y-intercept: 0

Amplitude: 1

Centerline Equation: y = 0

Wavelength: π

Is that correct? I apologize, this is all extremely foreign to me, and sometimes I get lost with all these names for things. 

New question:

This is the graph of       y=sinx

a) What is the y intercept?

b) What is the amplitude?

c) What is the equation of the centreline?

d) What is the wavelength?  How far does the wave go before the pattern repeats.  (It will have a pi in it)

No not quite.

The centre line is the x axis.

And every point on the x axis has a y value of 0

so

The Equation of the centre line is y=0  .

The Amplitude is the the height from the middle.   So it is  1/2    NOT 1

I'll give you a new one.

Japanese bullet trains travel at an average speed of 150 miles per hour. If you take the bullet train and leave Tokyo at 9:00 AM, how many miles you have travelled at 12:20

\(150 ml/h \times (12+\frac{20}{60}-9)h=\color{blue}500ml\)

500ml you have travelled.

  !

9:00 to 12:20   is  3 1/3 hours

3 1/3 hr   x   150 m/hr  = 500 mi

The centre line is Y = (0, 0), correct? Would that imply the amplitude is 1? 

I'm not certain what the "$" on each side of "x" represent.

If you are just considering all real numbers for the possibile replacements for x in the triangle whose sides are x + 15, 2x + 15, and 4x + 15, then, since the sum of any two sides of a triangle must be greater than the third side, there are these three possibilities:

I.    (x + 15) + (2x + 15) > 4x + 15     --->     3x + 30 > 4x + 15     --->     15 > x        --->     x < 15

II.   (x + 15) + (4x + 15) > 2x + 15     --->     5x + 30 > 2x + 15     --->     3x > -15     --->     x > -5

III.  (2x + 15) + (4x + 15) > x + 15     --->     6x + 30 > x + 15       --->     5x > -15     --->     x > -3    

The answer is (-3, 15)     [Using a value of -4 or -5 for x results in a side of the triangle being negative.]

Using "$x$ to refer to just "x", I can't get any possible of answers that work for questions 2 and 3.

a + b + c = 3 + (-7) + 8 = 4.

Now Peerless C,        

Can you answer a couple of questions for me please.  

a) What is the centre line of this graph?  I mean what is the equation of the centre line? 

b) What is the amplitude (distance from the centre to the highestor lowest  point) of this graph.

PC sent me this,

And yes you are absolutely correct.