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Nesterboy [21]
3 years ago
13

PLEASE HELP I've tried everything 30 points!

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

(x+2)1x-8)=0

x=-2 or x=8

Step-by-step explanation:

The given quadratic expression is

2 {x}^{2}  - 12x - 32

We equate this expression to zero to get:

2 {x}^{2}  - 12x - 32 = 0

Let us divide through by 2 to get:

{x}^{2}  - 6x - 16 = 0

Split the middle term to get:

{x}^{2}  - 8x + 2x - 16 = 0

Factor

{x}(x - 8) + 2(x - 8) = 0

Factor further to get

(x - 8)(x + 2) = 0

The solution are

x =  - 2  \: and \: x = 8

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Help pls ill give extra points
Nadya [2.5K]
Suzuki after line 3 where it says 42 / 5 +16 she shouldn’t have added 5 and 16 she needs to follow pemdas and do 42/5 which is 8.4 then she needs to add 8.4 and 16 to get an answer of 24.4
6 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
FIND THE VALUE OF X! please help !
AnnZ [28]
Its 20 the sides are equal
6 0
3 years ago
Read 2 more answers
One number is 10 more than the other. Their product is 299. Which of the following are the representations?
Talja [164]

Answer:

A.

Step-by-step explanation:

the second number is just 10 more than the first

6 0
2 years ago
Read 2 more answers
What is the value of x enter your answer in the box.
ira [324]
We can use vertical opposite angles. Which means the opposite angles where 2 lines intersects is the same.
3x + 50 = 6x - 10 (vert. Opp. Angles)
3x = 6x - 60
-3x = - 60
X = 20°
7 0
3 years ago
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