ElectricPavlov

When are the two equations equal?

7x+10 = 8x+8

2 = x       at two hours the charges are equal

20 children total       8 boys       soooo    12 girls

5 boys with speaking parts         5 girls with speaking parts

  10 total speaking parts   out of 20    

10/20 = 1/2 probability

here is an answer

DOMAIN is just all of the 'x' values a graph can have ....this one only goes from x= -1 to x  = 3

-1 <=x<=3

The tangent lines are the same length

13x-16 = 4x+ 11

x = 3

4x+11 is then   23 long      pythag theorem  FD = sqrt (12^2 + 23^2) =25.9 units

tan 21 = 17 000 / d

d = 17000/ tan21 = 44286.5 ft

sin A = 2/3   =   BD/24     meaning   BD = 16

sin C = 1/3   =   BD / BC  = 16/BC       meaning BC = 48  

48^2 - 16^2 = DC ^2     ( Pythag Theorem)

DC = 45.25 units

Total circumference   =  pi * d    =  pi ( 2 * 12.6) = 25.2 pi    cm

   this arc is a fraction of the 360 degree circumference      100 / 360

100/360 *  25.2 pi = ...........   cm

Find  h  (height)   as   2.6 sin 70 = 2.44 yd

  then area = 1/2 base * height      = 1/2 * 5.6 * 2.44   yd²

Highest   86     lowest   41        86-41 = 45     Amplitude is 1/2 of this = 22.5

22.5 sin

The graph starts at 62 and heads downward  so it is  - sin     (reflected)

shifted up     so midline is   (86+41)/2 = 63.5 up

- 22.5 sin (          )     + 63.5

Month zero = 62   so there is a very small shift of the graph to the left of .127

 -22.5 sin (  (x+.127)   )   + 63.5

Period is a year = 12 months       2pi / s  =  12      s =   pi/6

- 22.5 sin ( pi/6 (x+.127) + 63.5    =    temp                    where x = month          (this graph is not exact, but a 'best fit' for the data)