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Ad libitum [116K]

3 years ago

8

The answer is 20x + 35 what was the question when in the form of a(bx + c) where a b and c are integers

2 answers:

SSSSS [86.1K]3 years ago

5 0

20x+35
4(5x+7)
a=4
b=5
c=7

-BARSIC- [3]3 years ago

4 0

It is 5(4x+7)
a=5
b=4
c=7

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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

Jon reads 25 pages in 30 minutes. If Jon reads 200 pages at this same rate, how long will it take him?

kupik [55]

It will take Jon 240 minutes or 4 hours.

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3 years ago

What is<br><br> Log 10 100<br><br> Or what can I do

11Alexandr11 [23.1K]

Log_10 100 is the same as 10 to the x power is 100
10^x=100
10^2=100
the answer is 2

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3 years ago

Find the value of X.

Vera_Pavlovna [14]

Answer:

x=16

Step-by-step explanation:

(4x+2)+(x+8)=90

5x+10=90

5x=80

x=16

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3 years ago

If m< BOE = 130 degrees and m< cob = 80 degrees

hjlf

Answer:

then what?

Step-by-step explanation:

do we have to find the angle?

all I know is every right triangle is equal to 90°

6 0

3 years ago