Match the input values on the left with the output values on the right. y = x/2 + 1 1)3 X

2)Y 2

3)2 4

4)4.5 7

5)5.5 9

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

Step-by-step explanation:

matching input / output values.

insert each values into the equation.

1.  x             y = (x)/2  + 1

2.  2            y = (2)/2  + 1      y = 2

3.  4            y = (4)/2  + 1      y = 3

4.  7            y = (7)/2  + 1      y = 4.5

5.  9            y = (9)/2  + 1      y = 5.5

therefore,

x,  y

2, 2

4, 3

7, 4.5

9, 5.5

i hope the above solution is what you are lookin'

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.

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