Let

be the

matrix whose columns are

, and let

be the vector whose components are the constants

. Now consider the matrix equation

Multiplying both sides by

, we have

More explicitly, we're writing

Multiply both sides by

and the left hand side can be written as

We're told that

whenever

, so we're left with

Each of

are nonzero, which means their norms are nonzero, which necessarily implies that

, and so the vectors

must necessarily be linearly independent.
X = kp/y-c
cross multiply
xy-xc = kp
factor out the x
x(y-c) = kp
divide entire equation by x
y-c = kp/x
isolate y since we are solving for y
we do this by adding c to both sides which ultimately gives us the answer
y = kp/x + c
Answer:
p=1
Step-by-step explanation:
Answer:
C. 5
Step-by-step explanation:
Point R divides the line segment PQ internally. The x-coordinate of the point which divides the line segment in ration m:n internally can be calculated as:

Here, x1 is the x-coordinate of 1st point, x2 is the x-coordinate of 2nd point, x is the x-coordinate of point dividing the segment. We have all the values except x2. Using the given values in above formula, we get:

Thus the x-coordinate of point Q will be 5
The x-coordinate of Q is 5.