Answer:
The coordinates of the point that is 1/5 the way from A to B is 
Step-by-step explanation:
Here, the given points are: A (-7,4) and B (3,10)
Let us assume the point M(x,y) on AB is such that
AM : AB = 1 : 5
⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4
⇒ AM : MB = 1 : 4
Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

Here, in the given equation, m1: m2 = 1:4
So, the coordinates M(x,y) is given as:

Hence, the coordinates of the point that is 1/5 the way
from A to B is 
Answer:
It’s 5
Step-by-step explanation:
Answer:
41.667 to the nearest thousandth.
Step-by-step explanation:
z = kx/y where k is the constant of proportionality.
Inserting the given values:
66.666666666667 = k*20/6
20k = 6*66.666666666667
k = 6*66.666666666667 / 20
= 20
So the equation of variation is z = 20x /y
When x = 25 and y = 12:
z = 20*25/12
= 41.666666666667.