11) (-2x) (-1 + 9x) - 4x (4 + 5x)12) 3 (-5x - 3) + 4 (6 - 3x)

11) -14x-38x2 (squared)

12) 27x+15

Step-by-step explanation:

1. distribute the negative 2, distribute the negative 4, combine like terms

2. distribute the 3 to the parenthesis and distribute the 4 as well then combine like terms

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

i don't think there is enough