The function f(t)= -16t^2+96t+1200 give the height of a rainbow after t seconds after it appears in the sky. a. At what time does the rainbow reach its max height? b. How high is the rainbow at its max height?

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The best and most correct answer among the choices provided by the question is B. Reaches a max height of 8.25 feet after 0.63 seconds .    

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Step-by-step explanation:

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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.

f

step-by-step explanation:

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