Let f(x) = echogof)(x) find f(1) and f(1).
ses directly by a certain buoy in the chesapeake bay, traveling due northeast at a speed of ten
sses by the same buoy two minutes later, heading due west at a speed of twelve knots. (one
knot is one nautical mile per hour; one nautical mile is 1.1508 statute, or standard english, miles.) ten
(a) sketch a picture that shows the relative positions of the boats and the buoy t minutes from the moment the blue
speedboat passes the buoy.
(b) write an equation for the distance d(t) between the boats, measured in minutes t from the moment the blue
speedboat passes the buoy.
(c) find the time at which the distance between the boats is one nautical mile.
(d) find the rate at which the distance between the boats is increasing at the moment in part (c).
(
chg) - tan 663) + tan? (x)
u

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality