ElectricPavlov

Here is the graph of the right triangle formed.....you should be able to calculate the area of the triangle     1/2  b  *  h

What is (p+1)(q+1)

From Vieta:          p + q = - b/a      =   2

                                 pq = c/a        =   -8

(p+1)(q+1)   =    pq    +     p + q    +       1

                           -8    +        2       +       1   =  -5

Rhombus has 4 equal side lengths    and the    diagonals bisect each other at right angles.....sooooo   see the diagram below:

Assuming  ' repair '  and ' replace '  are the same  

450 m /3  day   *   24 days   *  1 km/1000m =  3.6 km

Find side length of the cube

s * s* s = 6859

s = 19 ft

Sq footage of floor =   19 ft * 19 ft =  361 ft²

5 dollars/ft²   *  361 ft² = _________    dollars

Find least common multiple of   45 and 75       =   225 minutes

t = 0 at initial height      =   480 feet  !

Re-arrange to vertex form by 'completing the square'  for 'x'

y   =  (x+1)²  +7         vertex = -1,7

s/h = 7/6       or   s = 7/6 h

then

(s-24) / h = 1/2

     or     s = 1/2 h +24      equate to the red equation:

                                              7/6 h = 1/2 h + 24

                                               4/6 h = 24

                                                      h = 24 * 6/4 = 36

You need to remember   :   rate * time = distance

45 hr * 8 m/hr     =     45 * 8 m  = ..........      See how the  hr   'cancels out' and you are left with miles ?