The vectors are linearly independent if and only if k ≠ -11
<h3>How to solve the vector</h3>
In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.
Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.
In this question,
We have 2v - 3w
We have to multiply 2 by the values of v and multiply 3 with the values of w
this would produce
[2,6,8]-[6,6,12]
subtract w from v
= [-4, 0, -4]
We u as -1, 0 and 10+k
It is not possible to -1 = 10 + k
-11 = k
Hence we have to conclude that they are linearly independent if and only if k ≠ -11
Read more on vectors here:
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If we take

, then

, and we can write the above integral as

and undoing the substitution, we end up with
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the equation of a line passing through the point (3, 2) and parallel to the line y=5x+4
step 1
Find the slope of the given line
we have

This is the equation of the line in slope intercept form
The slope is 
step 2
Find the slope of the line parallel to the given line
we know that
If two lines are parallel, then their slopes are equal
so
The slope is 
step 3
Find the equation of the line in point slope form

we have


substitute

step 4
Convert to slope intercept form

isolate the variable y



The median is the middle value in a list ordered from smallest to largest.