JENNIFER MO Question Example Step by Step In the graph shown, what do the parameters of each line represent? Let f(t) represent the first vehicle and d(t) represent the second vehicle. 400 350 300 250 200 Distance traveled (yd) 150 100 Time (min) (1) -d(t) O 15 20 25 30 35 40 The (select) represents the speed of the first vehicle and the (select) represents the starting distance. The select) represents the speed of the second vehicle and the (select) represents the starting distance. е

40 & 50 in the right corner are the complementary angles as when placed in a sum (added together) they make 90°

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