Solution:
we are given that
Nathan takes 42 minutes to thread a distance of 4.5 miles on a threadmill.
we have been asked to find the average distance covered in one minute.
Using the concept of unity we can write
Since Nathan takes 42 minutes to cover a distance of 4.5 miles.
So in 1 minute Nathan will cover a distance of 
Hence avearge distance covered in one minute is 1.1 miles.
To simplify the given radical form, we must recall some properties of exponents as shown below.
1. 1/x⁻ⁿ = xⁿ
2. x¹/² = √x
Now, going back to 1/x⁻³/⁶, we have
1/x⁻³/⁶ = x³/⁶
x³/⁶ = x¹/²
x¹/² = √x
Using the properties provided, we have a simplified form of √x.
<span>Answer: √x</span>
Y-y1=m(x-x1)
for slope=m
for point (x1,y1)
slope for 2 points (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
points
(2,0)
(-6,4)
(0-4)/(2-(-6))=(-4)/(2+6)=-4/8=-1/2
m=-1/2
could be
y-4=-1/2(x+6)
or
y=-1/2(x-2)
The difference in tallying of expenses from a day to day and month to month is the consistency. in a day to day basis it is consistent the time for a day is 24 hrs it will not change, so you will really know why the expenses goes up or down/ unlike for a month to month it is inconsistent,, some months have 30, 31 or 28 days in a month.