Answer:
Y(n) = 7n + 23
Step-by-step explanation:
Given:
f(0) = 30
f(n+1) = f(n) + 7
For n=0 : f(1) = f(0) + 7
For n=1 : f(2) = f(1) + 7
For n=2 : f(3) = f(2) + 7 and so on.
Hence the sequence is an arithmetic progression with common difference 7 and first term 30.
We have to find a general equation representing the terms of the sequence.
General term of an arithmetic progression is:
T(n) = a + (n-1)d
Here a = 30 and d = 7
Y(n) = 30 + 7(n-1) = 7n + 23
<u>Question 1</u>
If we let 
, then 
.
Also, as 
bisects 
, this means 
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8
9x-22=23+4x
Now you subtract 4x from both sides to get the variable on one side..
5x-22=23
Now solve as you would solve a 2 step equation.
5x=45
Divide both sides by 5 to get the variable by itself.
x=9
9/50 is close to 10/50 or 1/5 or 0.2
7/15 is close to 7/14 or 1/2 or 0.5
0.2 + 0.5 = 0.7
0.7 is closer to 0.5 than 1
The answer would be B
Since 10 millimeters is equal to 1 centimeter, all you have to do is divide 500 by 10. So, 500 divided by 10 is equal to 50. The final answer is 50 centimeters.
~hope it helps :)
