ElectricPavlov

It has two imaginary roots....no REAL roots.

First, simplify the equations

2.2x - 3y = -3.2

.4x +y = 8.8         Multiply this equation by 3 and add to the top equation

3.4x = 23.2             Now you can solve for x......use this value of x in one of the equations to calculate y

f(3) = 5   and  g(3) = 4      so s(3) = 9

11111111111

x = 1 dollar pax

x+50 = 1.26 pax

(1) x   +  1.26(x+50) = 402

x + 1.26x =339

x = 150 of the 1 dollar pax

ab / bc  * cd/de  * ea   = a^2    =   1/2  * 3/4 * 5 = 15/8      a = sqrt (15/8)      then b = sqrt (8/15) 

then c = sqrt ( 60/8)

then d =sqrt (72/60)

then e =  sqrt(960/72)   

a * r  = a +3  

a * r * r = a+3 + 9     

(a+3) * r = a + 12

r = (a+12)/(a+3)

a ( a+12)/(a+3) = a + 3

a^2 + 12a = a^2 +6a + 9

          6a = 9

             a = 3/2         

    3/2  * r = 3/2 + 3

            r = 9/2 * 2/3 = 3

                                     a        b         c            d

So the sequence is     3/2     9/2     27/2      81/2              d = 40 1/2

x^2 + y^2 <= 4x + 6y + 18.      re-arrange into circle equation form

x^2 -4x       +    y^2-6y    <  = 18      complete the square for x and y

(x-2)^2       +   (y-3)^2    <  = 18 + 4 + 9      this is a circle with center   2,3   and radius sqrt(31)

Area of circle with radius   sqrt(31)        <====== can you calculate that?

First, graph the points.....then count the integer points inside the graph:

(x -  h)^2 + (y - k)^2 = r^2.               h = -1     k = -7     r = 8       sub in to the equation to get

(x- (-1))^2 + (y-(-7))^2 = 8 ^2

(x+1)² + (y+7)² = 8²