Practice comparing volumes and calculating volumes of
composite figures.
ssignment
hich right prism would have the same volume as a square prism with a base area of 36 m2 and a height of 3 m?
6 m
3 m
3 m
TE
3 m
2 m
4 m
2 m
18 m
9 m

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.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.

x + 4/7

step-by-step explanation:

use cymath

1) 2/5

2) zero=0/1

3) zero=0/2

4) -4/5

5) undefined=3/0