ElectricPavlov

Rectangles are 'planar' figuresn not solids....so they do not have cubic inches as a measurement....they have SQUARE INCHES as an area measurement  ( or square cm    etc)         you cannot tell anything more about this rectangle ....there are infinite possibilities

area = length  X  width       so you will need either the length or the width  along wi th the area to compute the other measurement.

(by Vieta's rules)

r+s = -6   <======   r^2 +2rs + s^2 = 36       r^2 + s^2 = 36-2rs

rs = -2   <====== 

(r-s)^2 = r^2 -2rs + s^2    

             r^2 + s^2  - 2rs

              36-2rs - 2 rs

               36 -  -4  -  -4    =  44      

The discriminant of the Quadratic Formula must = 0 for this to occur

b^2 - 4ac = 0

b^2 = 4ac

b^2 = 4(2)(82)

     b  =  +- sqrt (656)

120 m/s     answered the other day

We know the average flat speed is 120

If you draw a diagram you will see that the up and the down paths are equal for his roundtrip

Call the distance one way = d     2 d for round trip

time on uphill    d/100   time on downhill   d/150

average speed      2 d /(d/100+d/150)  = 2d/ ( 3d/300 + 2d/300) = 2d / ( 5d/300) =  600/5 = 120 m/s

so all of the sections average 120 m/s     so his overall average speed is 120 m/s

Approx 986  meters high assuming   l = w = h    and there are no tombs or other hollow spaces inside   LOL

Need more construction details....amount of overlab between layers etc       Square base ?   Triangular base ?

UTS....   there are no mistakes in my answer that I can find.....

re-arrange to :

99x^2 -24x-3 = 0      Use quadratic formula   

Simplify a bit by dividing by 3

33x^2 - 8x -1=0

a = 33    b = -8    c = -1

\(x = {-(-8) \pm \sqrt{(-8)^2-4(33)(-1)} \over 2(33)}\)

You will need a few minutes time on a Cray supercomputer

1 + 1¹ =

1 + 1 = 2

36 points  / 3games   = 12 points per game

    (  or    3 games /36 points  = 1/12  game per point<======= this is not likely the one you you want though)

pi r^2 = original area

pi (2r)^2   =  pi r^2 + 108

4pi^2  pi   = pi r^2 + 108

3 pi r^2 = 108

r = 3.385                              new radius =6.77 units