Consider the rational equation 1/r=(1/x)+(1/y).solve this equation for r, and write r as a single rational expression in lowest terms.

R =  

Step-by-step explanation:

Given rational equation in the question as:

To solve:

R as a single rational expression

Now considering the equation

⇒

or

⇒

or

⇒ on rearranging the above equation to  find the value of R as a single rational expression, we get

R =  

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.

c: lkllmn.

hope it's you