What is the quotient of a^3b/c^2 / 2ab/c^3 ? Assume a0, b0, and c0. a2c a3bc

(-6a^3b + 2ab^2)(5a^2 - 2ab^2 - b)

Multiply each term in the first parenthesis by each term in the second parenthesis.

Then combine like terms.

-30a^5b +12a^4b^3 +6a^3b^2 +10a^3b^2 -4a^2b^4 -2ab^3

-30a^5b + 12a^4b^3 +16a^3b^2 - 4a^2b^4 - 2ab^3

LETTER B

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.

17

step-by-step explanation: