ElectricPavlov

x + y = 57       x = 2 pt shots      y = 1 pt shots

2x +y = 99             I think you can solve this system..... From the first equation  y= 57-x     substitute this into the second equation...and proceed

Hypotenuse (from pythag theorem) = sqrt 80

Tan A = opp/adj =  4/8 = 1/2

Sec a = 1/cos a =   1 /(adj/hyp) = hyp/adj = sqrt 80 / 8 =   4 sqrt 5  / 8 == sqrt5 / 2

sin a = opp/hyp =4/sqrt80    1/sqrt 5  = sqrt5/ 5 

The standard form of a parabola's equation is generally expressed:

y=ax2+bx+c

y^2−4x+4y−8=0 .     But this is a sideways parabola

Solve for x

4x = Y^2 +4y -8    divide by 4

x = 1/4 y^2 + y -2  

Thisw is the same as experimental probability...

21 times for B out of 36 trails (spins)      21/36 =  7/12

Travis' age will always be 3 years LESS than his sister's age , s .

Age of Travis = s-3

diameter =   sqrt   ( 6- -2)^2  + (2-5)^2   )   

                = sqrt (8^2 + (-3)^2 )

                = sqrt (64 + 9 )

                  = sqrt 73

radius = sqrt 73   /2         r^2 =  73/4

Find the diameter     sqrt (x1-x2)^2  + (y1-y2)^2  )       1/2 of this is r    the radius

Find the MIDPOINT ....this will be the center   (h,k)

    from 6 to -2 is  8 units     midpoint will be 4 units from either end    at       2

    from 2 to 5   is 3 units      midpoint will be  1 1/2 from either end  at      3 1/2      so (h.k) = (2, 3 1/2)

Standard form of a circle is

(x-h)^2 + (y-k)^2 = r^2       You now have all of the building parts....put it together and    done.

Assuming there are no birth defects

  kittens have 4 legs   and 1 head         4k    and     k     is kitten heads

Chickens have 2 legs    2c = chicken legs   c = chicken heads

4k + 2c = 46

k+c = 16                   two equations and two unknowns

Multiply second equation by -2

-2k - 2c = -32       and add it to the forst equation

to get

2k = 14

k = 7       then        k+ c = 16   means   c = 9  

7pi/6     is in the 2nd quadrant....   x will be negative and y will be positive....That should be enough of a clue !  

2+2*84+600-600+6220+00 = 6390