Can u help me in this one please guys

Given:

The number 12 is the geometric mean between 3 and a number x.

We need to determine the value of x.

Value of x:

Since, we know that the geometric mean is the square root of the product of two numbers.

Hence, we have;

where a and b are two positive numbers.

Substituting Geometric mean = 12, a = 3 and b = x, we get;

Squaring on both sides, we get;

Dividing both sides of the equation by 3, we have;

Thus, the value of x is 48.

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.

y=sec x is the correct answer

~batmans wife dun dun