Help. Betty divides
4x^4-2x+3
—————-
x+2

How does she proceed to the correct answer?

A. Betty places -2 in the box to the left in the synthetic division setup. She answers
4x^4-2x+3
—————- = 4x^3 + 8x^2 + 16x
x+2 + 30 + 63/x+2

B. Betty places 2 in the box to the left in the synthetic division setup. She answers
4x^4-2x+3
—————- = 4x^3 + 8x^2 + 16x
x+2 + 30 + 63/x+2

C. Betty places 2 in the box to the left in the synthetic division setup. She answers
4x^4-2x+3
—————- = 4x^3 - 8x^2 + 16x
x+2 - 34 + 71/x+2

D. Betty places -2 in the box to the left in the synthetic division setup. She answers
4x^4-2x+3
—————- = 4x^3 - 8x^2 +16x
x+2 - 34 + 71/x+2

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.

2.56 is the width of the garden

step-by-step explanation: