If you are trying to find the slope of a line that is perpendicular to another line, you would need to change the sign and change it to the fraction's reciprocal.
m = 
Change the sign of the slope:
Finally, make the reciprocal of the original slope (switching the numerator and denominator):
Simplify:
3
Final answer:
-6/7 < -6.7
i hope this helps
Answer: The solution is (3, -2)
This means that x = 3 and y = -2 pair up together.
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Explanation:
The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).
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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation
y = (-5/3)x + 3
y = (-5/3)*3 + 3
y = -5+3
y = -2
The first equation is confirmed. Let's check the second equation
y = (1/3)x - 3
y = (1/3)*3 - 3
y = 1 - 3
y = -2
Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.
Answer:
a
Step-by-step explanation:
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.
