Step-by-step explanation:
the slope is always the factor of x.
it is expressed as ratio y/x indicating how many units y changes when x changes a certain amount of units.
parallel means they have the same slope (factor of x).
perpendicular (90 degrees) means x and y trade places upside-down, and the sign is flipped.
so,
10) neither. we have the slopes -2/1 and 1/1.
11) parallel. the slopes -1/2 and -1/2.
12) perpendicular. the slopes 5/1 and -1/5.
16) parallel. special case. all points that have x=4 and x=2. these are 2 vertical lines (parallel to the y-axis also known as x=0).
17) perpendicular. special cases. all points that have y=2 and all points that have x=5. this is one horizontal line and one vertical line, which makes them perpendicular.
The approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
<h3>Solving equations</h3>
From the question, we are to determine the approximate solution to the given equation,
The given equation is
![4lnx -8 =12](https://tex.z-dn.net/?f=4lnx%20-8%20%3D12)
First, add 8 to both sides
![4lnx -8+8 =12+8](https://tex.z-dn.net/?f=4lnx%20-8%2B8%20%3D12%2B8)
![4lnx =20](https://tex.z-dn.net/?f=4lnx%20%3D20)
Now, divide both sides by 4
![ln x =\frac{20}{4}](https://tex.z-dn.net/?f=ln%20x%20%3D%5Cfrac%7B20%7D%7B4%7D)
![ln x = 5](https://tex.z-dn.net/?f=ln%20x%20%3D%205)
Take the exponents of both sides
![e^{lnx} = e^{5}](https://tex.z-dn.net/?f=e%5E%7Blnx%7D%20%3D%20e%5E%7B5%7D)
x = 148.413
x ≅ 148.4
Hence, the approximate solution to the given equation is x ≅ 148.4. The correct option is C. x ≈ 148.4
Learn more on Solving equations here: brainly.com/question/26831160
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Answer:
1409.28
Step-by-step explanation:
hope this helps :)
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