Answer:
364/27
Step-by-step explanation:
9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.
The nth term is a1rn-1.
If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27
32(3-1)n-1 = 3-3
3231-n = 3-3
33-n = 3-3
3-n = -3
n = 6
The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).
So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)
= 9(1 - 1/729) / (2/3)
= (27/2)(728/729) = 364/27
315 divide by 9= 36
2*36=72
7*36= 252
72:252
Answer:
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be 
such that the point 
divides KJ in ratio 
Then coordinates of point P are given by 
Take 
So,
coordinates of point P = 
Answer:
Step-by-step explanation:
The area is the sum of three sections: rectangle and two same triangles
<u>Rectangle has sides of </u>
<u>Triangles have sides of </u>
The missing number is 5 for both parts of the equation
Correct option is B
