Does anybody know this? ?

h = 3a + 28.6
a pediatrician uses the model above to estimate the
height h of a boy, in inches, in terms of the boy's
age a, in years, between the ages of 2 and 5. based
on the model, what is the estimated increase, in
inches, of a boy's height each year?
a) 3
b) 5.7
c) 9.5
d) 14.3

c

Step-by-step explanation:

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.

what "following statement"?

step-by-step explanation: