4.5 mi/h = _ ft/sec, how would one convert them?
1 answer:
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Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.
The answers will be :
a. The length of the line segment will be equal to 8.24 units.
b. The midpoint of the line segment will be ( -2 , -2 ).
c. The equation of line passing through points Y and Z will be 4y + x - 10 = 0
What is slope of a line segment ?
The ratio of the difference in y-coordinates over the equivalent x-coordinates between two different locations on a line.
It is given that a line segment has endpoints of Y(2,-3) and Z(-6,-1).
Let's solve the given parts based on the above data.
a.
The length of the line segment will be given by :
YZ =
YZ = √ [( -6 -(2)]^2 + [ -1 - (-3)]^2}
YZ = √ (-8)² + 2²)
YZ = √68
YZ = 8.24 units
b.
The midpoint (say M) of the line segment will be given by :
M = ( )
M = [(2-6)/2 , (-3-1)/2]
M = ( -2 , -2 )
c.
And the equation of line passing through points Y and Z will be :
= m (
)
Let's calculate value of slope (m) firstly which will be :
m =() / (
)
m = ( -1 + 3 ) / (-6 - 2)
m = 2 / -8
m = -1 / 4
or
m = -0.25
Using the value of slope (m) : we get the equation of line as :
= - 0.25 (
)
or
(y + 3) = - 0.25 ( x - 2)
y + 3 = -0.25 x + 0.50
or
y + 0.25 x - 2.5 = 0
If we multiply by 4 throughout the equation ; then the equation of line can also be written as :
4y + x - 10 = 0
Therefore the answers will be :
a. The length of the line segment will be equal to 8.24 units.
b. The midpoint of the line segment will be ( -2 , -2 ).
c. The equation of line passing through points Y and Z will be 4y + x - 10 = 0
Learn more about line segment here ;
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