Answer:
x^2+2x-15=0
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Answer:
![a_n = 2(4) ^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%202%284%29%20%5E%7Bn-1%7D)
Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term
and check that
Then the formula that represents this sequence is:
![a_n = a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%28r%29%5E%7Bn-1%7D)
Where
is the first term of the series = 2 and
is the radius of convergence = 4.
Then the equation is:
![a_n = 2(4) ^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%202%284%29%20%5E%7Bn-1%7D)
Use the Pythagorean theorem
Side = sqrt(8^2 - 6^2)
Side = sqrt(64-36)
Side = sqrt(28)
Side = 5.29
Rounded to nearest tenth = 5.3
Answer:
p = 16
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
24p = 384 ( divide both sides by 24 )
p = 16