PLEASE HELP

Complete the square x² + 16.0

x^2 + 16x + 32

Step-by-step explanation:

I am going to guess this is from factoring.

In which you need to x's multiplied together to get x^2. So you have:

(x+?) (x+?)

to get 16x you need two 8x's in your factoring square. so it would be

(x+8) (x+8)

Now you found out what you were mulitpling together, then you solve. The final part is multiplying 8 by 8, which is 32.

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.

4

step-by-step explanation: