Answer:
n = -8
Step-by-step explanation:
n + 2 = -14 - n
+n + n Add n to both sides
2n + 2 = -14
- 2 - 2 Subtract 2 from both sides
2n = -16 Divide both sides by 2
n = -8
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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:
$6.60
Step-by-step explanation:
11 x .40 = 4.4
11 - 4.4 = 6.6
We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³
the answer is
3 units³
The solution would be like
this for this specific problem:
Given: 40
km/h
2 km
t = d / v
t = 2 km / 40 km/h
t = 0.05 h * 60 minutes = 3 minutes
<span>At
this rate, it would take 3 minutes for the red kangaroo to jump 2 km.</span>