The height of a pelican as it swoops down to catch a fish in the lake is modeled by this equation, where x represents the time, in seconds, and y represents the height of the pelican, in feet. At the same time, a second pelican flies in a straight line, modeled by this equation.

Which statement describes the number and viability of the system’s solutions?

A.
The system has two solutions, and both are viable because they result in positive values of time.
B.
The system has two solutions, but only one is viable because the other results in a negative value of time.
C.
The system has only one solution, and it is viable because it results in positive values of time.
D.
The system has only one solution, but it is not viable because it results in a negative value of time.

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;

the correct answer

just use google you beautiful person.

have a nice day < 3

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.