What is PQ in the given figure?

  15

Step-by-step explanation:

The product of distances from P to the two intersection points along the same secant (tangent) is the same for each. For this purpose, the tangent can be considered to intersect the circle twice at the same point. That is ...

  PN·PM = PQ²

  x(2x +7) = (x +6)²

  2x² +7x = x² +12x +36

  x² -5x -36 = 0

  (x -9)(x +4) = 0 . . . . . . . true for x=9, x=-4

The relevant value of x is 9.

  PQ = x +6 = 9 +6

  PQ = 15

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (:

i think it's b

step-by-step explanation:

because the graph is 2 above (0,0)