Fill in the other coordinate line y=7/2x+6: (8,)

The other coordinate for the given equation is 34.

Step-by-step explanation:

We are given the following equation and we are to fin the value of the y coordinate given that the value of the x coordinate is :

Substituting the given value of x in the above equation to find y:

y = 34

(8, 34)

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.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: