Can someone look at the photo and answer 49 for me ?

P=-g means that if p=-3 then g=+3 if p=π, then g=-π
bsically, if p is x units away from 0, G is x unit from zero on the other side of zero

lets see our options
A. P is 3 units away from 0 and G is 3 units on other side. correct

B. P is  3 units awy from zero and G is 0 units, not correct

C. P is 4 units away and G is 3 units, not correct

D. P is 0 units and G is 3 unit

answer is A

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12