ElectricPavlov

Sale price is 75% of original price     (25% off means you pay 75%)

   .75 ( 540)

Now add tax     .75 (540)(1.06) = $                   

From the diagram   HLI = ILJ        they are both equal to x+71

  and   GLK = JLH     

                              JLH = HLI + ILJ 

x+139   =  x+71      +    x+71

x+139 = 2x + 142

x = 139-142 = -3

then   GLK = x + 139 = -3 + 139 = 136 degrees

The 'zeroes' are where the graph crosses the x-axis ....at this point y = 0    

  f(x) = y = 0   when th graph crosses the x-axis.

x = 5 pt questions

30 -x   =  2 point questions

5x   +    2 ( 30 - x) = 114

3x = 54

x = 18     5-pointers     then  12     2-pointers        

i = v/r

calculate r

200 = 50/r

r = 50/200  

cutting wire in half makes new  r = 1/2 r

i = 300/(1/2(50/200)) = 2400 mAmps     or   2.4 amps

Line equation    y = m x + b       m is the slope

y = -1/2 x -6    has slope, m, = - 1/2     parallel will have the same slope   - 1/2

   the last two choices have m = -1/2     

17 thru 99

adage

b/a   is given as   sqrt 2/ 2

so b = sqrt 2

     a = 2

c^2 = a^2 + b^2

c^2 = 6

c = sqrt 6

then since c - a = 1    (given ...becuase the focus is at 3    the vertex is at 4)

         so c = a + 1

    find  a       a is to c    as    a is to    (a+1)   

                      2 / sqrt6  = a / (a+1)

              a sqrt 6 = 2a  + 2 

               a ( sqrt6 -2) = 2

               a = 2 / ( sqrt6-2)     rationalaize    multiply numerator and denominator by  - sqrt6 -2

                   = (-4 -2 sqrt 6 ) / ( 4 -6)

                  a = 2 +- sqrt 6                          this is the distanc from the center to the vertex at 4

                   vertex then becomes    4   +   ( 2+ sqrt6 )     = 6 + sqrt 6     <====== the x coordinate of the center  !

x coordinate =   - b/2a =  -  8/-4 =  2

   sub into equation to find y   coordinate     -2(2^2) + 8 (2) - 15 = -7                (2, -7)