Tiffani and Percy each added the same amount of water to their buckets. Tiffani mixed 5 mL of a plant fertilizer with every gallon of water for her
bucket. Percy mixed 6 mL of the plant fertilizer with every 2 gallona of
water for his bucket.
ON
Which of these statements is true?
A. Percy used more fertilizer per gallon of water than Tiffani,
because 6:2 is greater than 5:1.
B. Tiffani used more fertilizer per gallon of water than Percy,
because 5 mL is greater than 2 mL.
C. Percy used more fertilizer per gallon of water than Tiffani,
because 6 mL is greater than
mL
D. Tiffani used more fertilizer per gallon of water than Percy,
because 5:1 is greater than 6:2.

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.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11