Answer: 4:3.
Step-by-step explanation:
Given: Point P is
of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as

As per given,

Hence, P partition the directed line segment from M to N in 4:3.
Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:

which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:

which reflects a shift to the right 3 and down 5. That's what we want!
The answer to the question is 1/27
Using theorem about secant segments we can write,
AB*AH=AG*AC
AC=4,
CG=6
AG=AC+CG=4+6=10
AH=3
AB= AH+HB=AH+x=3+x
(3+x)*3=10*4
9+3x=40
3x=40-9
3x=31
x=31/3≈10.3
HB≈10.3
EG=HB/2 (as radius and diameter)
EG=10.3/2≈5.2
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)