Please see the answer here
http://www.wolframalpha.com/input/?i=y%5E-1%20dy%20%2Bye%5E%28cosx%29%20sinxdx%3D0
LM = QR x 2 ( 80 = 40 x 2)
This means the triangle on the left is twice the size of the one on the right.
To find the length of KM, multiply the length of the corresponding side (PR) by 2
KM = PR x 2 = 60 x 2 = 120 ft.
you can find the slope of this line by seeing how much change occurs. 2-1,6-4 therefore 1,2 rise over run. so the slope is 2. if we have the point 1,4 and we know the slope is 2 then we know it passes through 0,2 this is the y intercept. therefore y=2x +2
we know the difference of consecutive integers is 1 so we can achieve every next integer by adding 1 in the previous integer .
let us start with assuming the four consecutive integers as :
x , x+1 , x+2 , x+3
3 times ( sum of first two ) = sum of last two + 70
3 ( x+ x+1) = x+2+x+3 + 70
3( 2x +1 ) = 2x + 75
6x + 3 = 2x + 75
6x-2x = 75 - 3
4x = 72
x= 72/4 = 18
so first integer is x= 18 next is 19 next 20 and next 21
Answer : 18 ,19,20,21
Each friend gets 
cards
<em><u>Solution:</u></em>
Let the number of cards in $ 27 set be "x"
Given that Nicole has $9 to spend on cards
Amount with Nicole to spend on cards = $ 9
One set costs $27
Therefore, cost of 1 set = $ 27
Each friend gets the same number of cards
She finds friends with the same amount of money to split the cost of a set
Therefore, to get total cost of 1 set which is $ 27 , we can say
$ 9 + $ 9 + $ 9 = $ 27
So 2 friends pay each $ 9 and nicole pays $ 9
Now, Number of cards each friend gets is given by
Thus each friend gets cards
