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3 years ago

9

Please help me out!!!!!!!! :)

2 answers:

ozzi3 years ago

5 0

Answer:I think it is 73 degrees

Step-by-step explanation:

AlexFokin [52]3 years ago

3 0

Answer:

x=65 y=49 z=114 w=93 i=86

Step-by-step explanation:

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How do you solve this one 10x^2-25=x^2

solong [7]

10x^2 - 25 = x^2
Take the square root of each side.

$\sqrt{x^2} = \sqrt{10x^2 - 25}$
x = 10x - 5i

4 0

3 years ago

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are

alexgriva [62]

Answer:

$P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)$

Step-by-step explanation:

It is a result that a matrix $A$ is orthogonally diagonalizable if and only if $A$ is a symmetric matrix. According with the data you provided the matrix should be

$A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)$

We know that its eigenvalues are $\lambda_{1}=-14, \lambda_{2}=-5$ , where $\lambda_{2}=-5$ has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

$E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle$ , $E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle.$ .

With this in mind we can form the matrices $P, D$ that diagonalizes the matrix $A$ so.

$P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)$

and

$D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)$

Observe that the rows of $P$ are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of $P$ dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0

4 years ago

Round 145.98 to the nearest ones

Evgesh-ka [11]

145.98 is rounded to 146.00.

Hope this helps you! :)

5 0

3 years ago

Read 2 more answers

Name the decimal and fraction for R on the number line.

Hatshy [7]

Hrbdjrb283.3jdjrhehhdhrbd

5 0

3 years ago

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Alice's grandmothers age is a composite number between 70 and 80 and has a factor of 11 what is it

pshichka [43]

The factor of 11 is going to be 77 because you have to stay in between 70 to 80

and 7 times 11 is 77. It also has to be a number in the 11 timetables. It can't be 88 because we can't cross 80 so the factor is going to be 77.

Hope it helps

6 0

4 years ago

Read 2 more answers