ElectricPavlov

pi x d x h =  48.412 in^2      PLUS two endcaps   2    *   pi r² =  8.309  

                      total 56.72 in²

ED = 22 i^2 =   -22

then   -22 ( 11-5i)

                    = -242 + 110 i

each THREE drop in 'x' drops y by 1.5

soooo

6/1.5 = 4        so we need to drop 4*3 = 12  from 2    to   -10

It is all x   EXCEPT values of x that make the denominator = 0

denominator factors to

(x  -1)(x -6)     so x cannot = 1 or 6

*** edit ****     denominator cannot be negative either   ( no neg sqrt )    which is from 1 to 6

(-∞,1)  U (6, +∞)

tan 42^o =   12/w

w =  12 / tan42 = 13.3

tan 27 =  12/ ( w+x)

tan 27 = 12/ (13.3 + x)

x = 10.2 units

Use pythagorean theorem for right triangles

hypotenuse ^2   = leg1^2 + leg2^2

          x^2             = 8^2      + 15 ^2

x = sqrt 289  = 17 units

a)  x intercepts occur when f(x)   (which is 'y' )  = 0 

              -(x+4)(x-1) = 0        so x = -4   and   1   are the 'zeroes'   (x intercepts)

      y intercept is when x = 0        - (0+4)(0-1) = 4

b) axis of symmetry is exactly between the zeroes      x =  - 1.5

c)  the x coordinate of the vertex is tha axis of symmetry    x = - 1.5     use this value in the equation to calculate the 'y' coordinate

d ) graph it with your tools  

Opposite sides must be equal length    10x+9 = 14x-7

                                                                 4x = 16            x = 4

Already answered ....NOW !   

Welll....from the diagram, you can see you have two triangles  (one on each side)

area of triangle = 1/2 base*height  = 1/2  * 2 x 10   = 10 ft²   each

  then you are left with a rectangle   13 ft x 10 ft = 130 ft^2

130 + 10 + 10 = 150 ft²

    ^{or you could just use the formula for area of parallelogram     base * height = 15 * 10 = 150 square feet}