Answer:
![FE=5\ units](https://tex.z-dn.net/?f=FE%3D5%5C%20units)
Step-by-step explanation:
we know that
If a diameter of a circle is perpendicular to a chord, then it bisects the chord
In this problem
AB is a diameter of circle C
The chord DE is perpendicular to the diameter AB
so
AB bisects the chord DE
That means
FD=FE
we have
![FD=5\ units](https://tex.z-dn.net/?f=FD%3D5%5C%20units)
therefore
![FE=5\ units](https://tex.z-dn.net/?f=FE%3D5%5C%20units)
Answer:
$207.20
I hope this can help in any way!
Let the number of frogs in the Blue Pond be x
Blue Pond = x
There were 26 more frogs in Green Pond than in Blue Pond
Green Pond = x + 26
There were 80 frogs altogether
x + x + 26 = 80
2x + 26 = 80
2x = 80 - 26
2x = 54
x = 27
x + 26 = 27 + 26 = 53
There were 53 frogs in the Green Pond originally.
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Further explanation:
Given sequence is:
3, -6, 12, -24, ...
We have to find the common ratio first.
Common ratio is the ratio between two consecutive terms of a geometric sequence.
It is denoted by r.
So,
![Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2](https://tex.z-dn.net/?f=Here%2C%5C%5Ca_1%3D3%5C%5Ca_2%3D-6%5C%5Ca_3%3D12%5C%5Ca_4%3D-24%5C%5Cr%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7B-6%7D%7B3%7D%3D-2%5C%5C%5Cfrac%7Ba_3%7D%7Ba_2%7D%3D%5Cfrac%7B12%7D%7B-6%7D%3D-2)
General formula for geometric sequence is:
![a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio](https://tex.z-dn.net/?f=a_n%3Da_1r%5E%7Bn-1%7D%5C%5CHere%5C%5Ca_n%5C%20is%5C%20the%5C%20nth%5C%20term%5C%5Ca_1%5C%20is%5C%20the%5C%20first%5C%20term%5C%5Cand%5C%5Cr%5C%20is%5C%20common%5C%20ratio)
Putting the values of a1 and r
![a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}](https://tex.z-dn.net/?f=a_n%3D3.%28-2%29%5E%7Bn-1%7D%5C%5Cf%28n%29%3D3.%28-2%29%5E%7Bn-1%7D)
Hence,
The correct answer is:
b.) f(n) = 3 • (-2)^(n-1)
Keywords: Geometric Sequence, Explicit formula
Learn more about geometric sequence at:
#LearnwithBrainly