What is the value of x^3\cdot y^1x 3 ⋅y 1 x, start superscript, 3, end superscript, dot, y, start superscript, 1, end superscript when x=5x=5x, equals, 5 and y=10y=10y, equals, 10?

The expression means that you have to cube the value of and multiply it by the value of .

So, the value of is 5, which becomes 125 when cubed. When we multiply it by the value of , which is 10, the result is 1250:

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.

b

step-by-step explanation: