Answer:
- The sum of the series is given as
7/(1 + 7z)
- The series converges for (-1/7, 1/7)
Step-by-step explanation:
Given the geometric series:
7 - 14z + 28z² - 56z³ + ...
The common ratio r is given as
-14z/7 or 28z²/(-14z) or -56z³/(28z²) and so on
r = -7z
The sum of the series is given as
S = a/(1 - r)
Where a is the first term in the series.
S = 7/(1 -(-7z))
= 7/(1 + 7z)
The series converges for |-7z| < 1
That is for -1/7 < z < 1/7
The answer is D because you just multiply the percent times 40 to get 12.
Answer:
6
Step-by-step explanation:
We know that MY is the same length as XM according to definition of segment bisector. We can create an equation:
5x + 8 = 9x + 12
Minus 8 on both sides
5x = 9x + 4
-4 = 4x
x = -1
Now substitute both sides of the equation with -1 instead of x
-5 + 8 = -9x + 12
3 = 3
XY = MY + XM
XY = 3 + 3 = 6
Hope this helps :)
Have an awesome day!
Answer:
B
Step-by-step explanation:
it's B cause if you do the math its b
Both point (5,12) and (11,12) lie on the horizontal line y=12.
If these two points is a leg of the triangle, the other leg must be perpendicular to the horizontal line, that is, the other leg must be vertical, but passing through either (5,12) or (11,12), i.e. lies on either the vertical line x=5 or x=11.
There is only one point that passes through x=11, i.e. point A(11,4).