ElectricPavlov

The radius is the distance between the two points = sqrt 61

  given (h,k) the center as (-1,1)...the standard form circle equation becomes

(x+1)² + ( y-1)² = ( sqrt 61)2      expand

x² + 2x +1    + y² -2y +1 - 61  = 0      <======= simplify to find   A B C D   to finish

Since CD and AB are parallel  ECD will be the same as A      48 degrees

(x^2 -10x)     +    ( y^2 + 8y)    = - c      complete the square for x and y

(x-5)^2          +   ( y  +4)^2      = - c      + 25  + 16     < === the red portion = radius squared

                                                  - c + 41 = 1 ^2

                                                   -c = - 40                          c = 40

d = -3 for this sequence

88 +  (n-1) d  = -171

            -3n + 3  = -  259      n = 87.33^rd   term 

                         ( this is APPROXIMATELY where -171 would appear.....but there is no 'partial' term, so -171 'exactly' ....won't be in the list )

BAC covers 100 degrees of arc..... (from the common arc of the 100 degree angle)    BAC will be 1/2 of this arc = 50 degrees

From 5th to 32nd is 27 terms   ===> 27 of the common  d

    9 + 27d  = - 840 

             d = - 30  7/9

from 5th to 23rd is 18 d

    9  + 18 ( -30 7/9) = -545

9x^2 + 24x + a + 6x + x^2  

10x^2 + 30x + a   

(sqrt (10) x   + 1.5 sqrt (10))²         expands to   10x^2 + 30x + 22.5

Egad....misread the Q !   D'Oh!

Here is a solution:  ( rather than just an answer)

xy = -32

x+y = -4     or  y = -4 -x     sub this into the first equation to get

x ( -4-x) + 32 = 0

-x^2 -4x + 32 = 0        now, you can factor.....or use the Quadratic Formula

    with a = -1  b = -4   c = 32          to find  the numbers are   4 and  -8

$x = {-(-4) \pm \sqrt{(-4)^2-4(-1)(32)} \over 2 (-1)}$

At t= 1      height =  10 - 1.86 = 8.14   m

at t= 3      height = 30- 16.74 = 13.26

       (13.26 - 8.14)/2 = 2.56 m / s                       (   I think you performed   height 1 - height 3 ) / 2    

10 - 3r - 5g = 2 pencils are yellow       2 out of 10   =   2/10 = 1/5 are yellow