Write an exponential decay function to model the situation. Compare the average rates of change over the given intervals. initial value: 55
decay factor: 0.8
1 sxs 3 and 4 SX S7
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The exponential decay function to model the situation is f(x) = 55(-8)"
y
as x increases
The average rate of change over 15x53 is. The average rate of change over 45x7 is. The rate of change
(Round to three decimal places as needed.)
s project

If an x intercept only touches the x axis it means it has a multiplicity of 2. if an intercept goes through the axis it has a multiplicity of 1 true false

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

Geometry ! complete the following proof. given: qk=16, pk=26, mk=65, kl=40 prove: ∆qpk~∆lmk