Answer/Step-by-step explanation (ac > b² or b² < ac.
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A/c to question, we have to show:-
b² >ac in A.P ........ (1)
b² = ac in G.P .....(2)
b² < ac in H.P. ..... (3)
b = a+c/2 (A.P)
b = √ac ( G.P)
b = 2ac/a+c (H.P)
In A.P :
b² > ac = b² - ac
= (a+c/2)² - ac
= (a²+2ac+c²/4) - ac = a² + 2ac + c² - 4ac / 4
= a² - 2ac + c² / 4 = ( a - c ) ² / 4 > 0 Hence, b²>ac
In G.P:-
b = √ac
Hence, b² = ac
In H.P :- b² < ac = ac > b² = ac - b² = ac - ( 2ac / a+c)
= ac(a+c) - 2ac / a+c
= a²c + ac² - 2ac / a+c
= ac(2ac - 2) / a+c > 0
Hence, ac > b² or b² < ac.
Time = distance/velocity = 120/40 = 3 hours
Triangle RST is congruent to triangle .The sequence of transformations could have been used to transform triangle RST to produce triangle is <span>Triangle RST was translated 8 units right and then reflected across the x-axis. The answer is letter D. The rest of the choices do not answer the question above</span>
Answer:
A.
Step-by-step explanation:
C = 2πr = πd
A. C = π(38.5 in.) = 120.95 in.
First guess: Answer: A.
If you were to replace the x's with 2, your equation would turn into:
(2)^2-4(2)+5
From there, you'd just solve.
4-8+5=1
Your answer would be 1.