A triathlon athlete swims at an average rate 2.4 miles per hour, and bikes at an average rate of 16.1 miles per
hour. At the end of one training session, she has swum
and biked more than 20 miles in total.
The inequality 2.4x + 16.ly > 20 and this graph
represent the relationship between the hours of
swimming, x, the hours of biking, y, and the total
distance the athlete could have traveled in miles.
Mai said, "I'm not sure the graph is right. For example,
the point (10,3) is in the shaded region, but it's not
realistic for an athlete to swim for 10 hours and bike for
3 hours in a training session! I think triathlon athletes
generally train for no more than 2 hours a day."
Write an inequality to represent Mai's last statement.

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

Welp life just is hard

Could you make it more clear?