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2 years ago

What is an equation for the line that passes through points (8, -3) and (9, 10)

Mathematics

1 answer:

34kurt2 years ago

3 0

Answer:

y=13x-107

Step-by-step explanation:

(10- -3)/(9-8)=13

10=13*9+b

b=10-117=-107

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Will give brainliest and good rating

stepladder [879]

Answer:

top right

Step-by-step explanation:

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2 years ago

Ronnie wants to put 1/12 of a pound of bird seed in each of the bird cages. He has 2/3 of a pound of bird seed left to use. How

Maslowich

Answer:

Step-by-step explanation:

2/3 / 1/12

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2/3 x 12/1

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2 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

3 years ago

Write the equation of the line that has the given slope and y-intercept:

NARA [144]

Answer: y = 1/3x + 28

Step-by-step explanation:

6 0

2 years ago

What is the equation of the line that is parallel to the given

Artist 52 [7]

Answer:

For as far as I know -6=a-4+b

Step-by-step explanation:

The (-4,-6) are coordinates like (X,Y) now the formula your using is y= ax+b. So the only thing you have to do is fill X and y in from the coordinates into the formula.

8 0

2 years ago

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