Answer:
Perpendicular lines have slopes that are opposite and reciprocal. Therefore, the line we are looking for has a -3 slope.
y= -3x+b
Now, we can substitute in the point given to find the intercept.
2= -3(4)+b
2= -12+b
b=14
Finally, put in everything we've found to finish the equation.
y= -3x+14
12a + 6 + 3a = 15a + 2
15a = 15a - 4
0 = - 4
The magnitude of the vectors is 7.2
The magnitude of a vector is resolved by using a formula
<h3>Magnitude of a Vector</h3>
This is the displacement between two vectors and can be calculated as
where x is the magnitude of displacement between y and z.
In this question, the vectors are
Let's find the magnitude of this vector
The magnitude of the vectors is 7.2
Learn more on magnitude of vectors here;
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Answer:
153/20
Step-by-step explanation:
We want to have the mixed fraction turned into a improper fraction to make adding them both easier. We would change 5 2/8 to 42/8 and 2 4/10 to 24/10.
We now need to get them a common denominator. The LCM (least common multiple) of 8 and 10 is 40, so we multiply 42/8 by 5/5 getting us 210/40 and 24/10 by 4/4 to get 96/40.
Finally, we add them then simplify. 96/40 + 210/40 is 306/40. We then simplify that to 153/20.
