Since this is a line it has a constant velocity or slope, and the line can be expressed as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0)
m=(y2-y1)/(x2-x1)
m=(6--4)/(10-4)
m=10/6
m=5/3, using any point we can then find the y-intercept, I'll use (4,-4)
-4=5(4)/3+b
-4=(20+3b)/3
-12=20+3b
-32=3b
-32/3=b so our line is:
y=(5x-32)/3
So there are infinite points on the line segment defined by the equation above on the interval of x=[4,10]
A point? How about the midpoint...x=(4+10)/2=7
y(7)=(5*7-32)/3=1
(7,1)
Answer:
Step-by-step explanation:
Given
Volume of baby pool = 52ft³
Required
Determine the volume of the medium pool
Volume of a cylinder is calculated as:
Hence, the volume of the baby pool is:
where r and h are the radius and height of the baby pool
Represent the height and radius of the medium pool as H and R
From the given parameters in the question
and 
and 
The volume of the medium cylinder is calculated as
Substitute 4h for H and 4r for R
Open bracket
Collect like terms
Recall that
So, the expression becomes
Hence, the medium pool can hold 
of water
Step-by-step explanation:
The explanation:
8x+36x-24=
44x-24.
That is in its simplest form.
The domain is the set of all the values of xx. The range is the set of all the values of yy.
Time = Distance/Speed
Let d represent the distance from home to the resort in miles.
Time To Resort = d/48
Time To Home = d/40
Total Time = Time To Resort + Time To Home
11 = d/48 +d/40 . . . . . . . . . . substitute known values & expressions
.. = d*(40 +48)/(40*48) . . . . add fractions
.. = d*11/240 . . . . . . . . . . . . . simplify
11*(240/11) = d . . . . . . . . . . . multiply by the inverse of the coefficient of d
240 = d
The Gomez family traveled 240 miles from their house to the resort.
