Coordinates of the midpoint of AC:
M ( (-6-2) / 2) , ( 7-9 ) /2 ) = ( -4, -1 )
d ( BM ) = √ ( 4 + 4 )² + ( -1+ 1 )²
d ( BM ) = √ 8 ² =√ 64 = 8
The length of the median from angle B is 8.
To find g(f(4)), work from the inside out.
f(4) is 4^2+3, or 16+3, or 19. Now, we must find g(19).
This is 19+5/19. This is already a mixed number, though if you want an improper fraction solution, we have:
361/19+5/19
Which simplifies to:
366/19
Therefore, 366/19 is the answer.
Common difference = 1/3 - 2/3 = 1-2 / 3 = -1/3
In short, Your Answer would be -1/3
Hope this helps!
