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maks197457 [2]
2 years ago
8

Which of the following is a solution to the equation:

Mathematics
1 answer:
timama [110]2 years ago
5 0

Step-by-step explanation:

The answer is the third one where x=6 and y= -4

Explanation:

Replace x and y with 6 and -4, so it becomes

2(6) = -5(-4) - 8

Then solve. 2×6 is 12 and -5×(-4) is 20, since two negatives make a positive. Then bring down -8

12 = 20 - 8

12 = 12

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Find the solution to the system of equations...
stiks02 [169]
X = 4 and y = 1

answer is (4,1) is the solution . b is the answer (2nd choice)
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2 years ago
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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
3 years ago
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3. Mode is the number that appears most often, so here it is 30 and 31 because they both appear 2 times.
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2 years ago
What is the answer for number 1
poizon [28]
R = -2 :) hope this helps
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2 years ago
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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

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The slant height of the pyramid if Helen uses all the clay=5 inches

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3 years ago
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