Consider the given equation:

Cross multiplying in the given equation, we get

Applying distributive property which states
, we get


Adding '4' on both the sides, we get


Subtracting '10n' from both the sides of the equation, we get


Dividing by '-8' in both the sides of the equation, we get

Therefore, the value of 'n' is -1.
Answer:
the answer is 138
Step-by-step explanation:
180-42=138 degrees
Answer:

Step-by-step explanation:
It is a result that a matrix
is orthogonally diagonalizable if and only if
is a symmetric matrix. According with the data you provided the matrix should be

We know that its eigenvalues are
, where
has multiplicity two.
So if we calculate the corresponding eigenspaces for each eigenvalue we have
,
.
With this in mind we can form the matrices
that diagonalizes the matrix
so.

and

Observe that the rows of
are the eigenvectors corresponding to the eigen values.
Now you only need to normalize each row of
dividing by its norm, as a row vector.
The matrix you have to obtain is the matrix shown below
Answer:
y = 0
Step-by-step explanation:






Y=4x-14 to find the slope you need to do
rise/run and to find b you need to see where the line crosses the y axis