In parallelogrammnop, pk=5x andkn=x2−14 . what is pn? 7 36 70 100

  (c)  pn = 70

Step-by-step explanation:

If k is the point of intersection of the diagonals, then ...

  pk = kn

  5x = x^2 -14

  x^2 -5x -14 = 0 . . . . subtract 5x

  (x -7)(x +2) = 0 . . . . factor

The positive solution is x = 7.

  pk = 5x = 5·7 = 35 . . . . pn is twice as long.

  pn = 70

the answer is d

step-by-step explanation:

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.