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Excellent!   

2 new ones.

Now look at this one.

Graph

y=sinx

and

y=-sinx                    [ which is the same as      y=   -1*sinx ] 

What is the difference.

What effect did the multiply by -1 make?

For each one, what will be

a) midline

b) y intercept

c) wavelength

d) amplitude

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

If I graph

y=3sinx and y = -3sinx  what will be different?

Graph to check.

For each one, what will be

a) midline

b) y intercept

c) wavelength

d) amplitude

\(M : K\)  \( : M+K\)

\(2 \)    \(:\) \(5\)    \(: 7\)

They have 210 so

\(M:K:210 \)

\(2 : 5 : 7\)

"How many stamps did Keddy have?"

Keddy, K is 5*210/7 =150 stamps 

The a weight of an object on the moon is 1/6 of its weight on earth. if a moon rock weighs 20 1/2 lb on earth, how much did it weigh on moon?  

Probably the easiest way to calculate 1/6 of 20-1/2 is to change the 20-1/2 to a fraction. 

                                                   20-1/2  =  41/2    

Divide that by 6 which is the

same as multiplying it by 1/6       41/2 • 1/6  =  41/12            

Simplify the fraction                     41/12  =  3-5/12    (in words, three and five twelfths)

_.

Thank you for the help, but what's the answer?

If you and I both select numbers in the range from [1, 199], the probability that we match is 1/199.

After your number and my number have been selected, we can describe our numbers, such as yours is a multiple of 18 and mine is a multiple of 24; but this description, after the fact of choosing, does not change the probability of choosing.

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Hi there...
 
If Ericka is reading a book with "675" pages.
She has already read "375" of them, that leaves 300 pages.
And if she reads "80" pages per day...

That means, for her to finish the last 300 pages remaining, it will take her "((675-375)/80)=" days.
 
I hope that helped a bit?
 
 
Kind regards
BizzyX
 
 
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There are 5 ways that a sum of six can occur [ 1,5  2,4  3,3  4,2  5,1 ].

There are 4 ways that a sum of nine can occur [ 6,3  5,4  4,5  3,6  ].

The probability that a sum of six occurs first is 5/9.

There are 99 spaces between post #1 and post #100.

Since he started at post #1 and is currently at post #25, he has travelled 24 spaces.

He has gone 24/99 or 8/33 of the way.

(1 + tan²x)/csc²x  =  sec²x/csc²x  =  sin²x/cos²x  =  tan²x

I assume the question is really

Question: Express (15-20i)/(1-2i ) in a+bi form.          Brackets are necessary!

\(\frac{15-20i}{1-2i}\\ =\frac{15-20i}{1-2i}*\frac{1+2i}{1+2i}\\ =\frac{15-20i+30i+40}{1+4}\\ =\frac{55-10i}{5}\\ =11-2i\\\)

Note: I have not checked my answer.

I expect a number of people, including me, are struggling with your question OldTimer.

A rhombus ha a perimeter of 80 meters and the length of one diagonal is 24 meters.find the area of the rhombus.

Hello Guest!

\(A_{Rh}=2\cdot (\frac{1}{2}\cdot 24\ m\cdot h)\\ h=\sqrt{(\frac{80}{4})^2-(\frac{24}{2})^2}\ m\\ h=16\ m \)

\(A_{Rh}=2\cdot (\frac{1}{2}\cdot 24\ m\cdot 16\ m)\)

\(A_{Rh}=384\ m^2\)

  !

Hi Melody!

Let the number of miles =M
40 + 0.70M =20 +0.90M, solve for M
M = 100 miles - when the cost will be equal.

Hi Hectictar :)

Thank you for all your hard work. I truly appreciate it. 

In addition, you can highlight some text first then click the link button and paste the URL.

That will make the link text be the highlighted text.

The winning possibilities are:

bb = (5/10)(4/9)

bwb = (5/10)(5/9)(4/8)

wbb = (5/10)(5/9)(4/8)

wwbb = (5/10)(4/9)(5/8)(4/7)

Find the individual products and add the answers to get the final answer.

If all s/he needed was the answer, that could be obtained from the answers in the back of the textbook.  The student needs to know how to get there. 

Since     x + y =  -3     --->     x  =  -3 - y

Substituting into  y  =  -x² - 5x - 6

     --->                 y  =  -(-3 - y)² - 5(-3 - y) -  6

                           y  =  -(9 + 6y + y²) + 15 + 5y - 6

                           y  =  -9 - 6y - y² + 15 + 5y - 6

                  y² + 2y  =  0

                 y(y + 2)  =  0

So:  either  y  =  0     or     y = -2

Now, find out the corresponding values for x to get your two ordered pairs.

Let the first term of the progression be a and let the common difference be d.

Then the terms of the progression are:  a,  a + d,  a + 2d,  a + 3d

The ratio is:  [a · (a + 3d)] / [(a + d) · (a + 2d)]  =  7/15

Cross-multiplying:   [a · (a + 3d)] ·15  =  7 · [(a + d) · (a + 2d)] 

So:                                15a² + 45ad  =  7a² + 21ad + 14d²

                             8a² + 24ad - 14d²  =  0

                              4a² + 12ad - 7d²  =  0

Solving for a using the quadratic formula with a = 4, b = 12d, and c = -7d²

     a  =  [ -12d  +/-  sqrt{ (12d)² - 4·(4)(-7d²) }  /  (2·4)

         =  [ -12d  +/-  sqrt{ 144d² + 112d² } / 8

         =  [ -12d  +/-  sqrt{ 256d² } ] 8

         =  [ -12d  +/- 16d ] / 8

I'm only going to consider the "+" answer:

        =  [ -12d + 16d ] / 8

        =  4d/8

        =  d/2

Since the sum = 32:  a + (a + d) + (a + 2d) + (a + 3d)  =  32

                    (d/2) + (d/2 + d) + (d/2 + 2d) + (d/2 + 3d)  =  32

                                                                                8d  =  32

                                                                                  d  =  4

Since  a  =  d/2     --->     a  =  4/2  =  2

With  a = 2  and  d = 4:       2, 6, 10, 14

I'll let you see what happens if you were to select the "-" answer.