When Mustafa threw a beach ball to his friend, its horizontal velocity changed as it traveled through the air.
The relationship between the elapsed time, ttt, in seconds, since Mustafa threw the ball, and its horizontal velocity, V(t)V(t)V, left parenthesis, t, right parenthesis, in \text{cm/s}cm/sstart text, c, m, slash, s, end text, is modeled by the following function:V(t)=4⋅(0.81)t

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

Many things that seem threatening in the dark become welcoming when we shine light on them