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3 years ago

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3+ 4×12 Word problem

2 answers:

Rudiy273 years ago

5 0

Three plus four times twelve

Ivahew [28]3 years ago

5 0

According to PEMDAS, this is what I came up with.
Roy has to fix his car. Repair costs $12 for each of his four tires. The price increases by $3 because of gas prices. What is the total amount of money Roy spends fixing his car?

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Find the surface area

ki77a [65]

Step-by-step explanation:

so for this one u do

$15 \times 9 + 9 \times 4 + 15 \times 4$

231 the times it by 2 for the both sides

231×2=462 cm2

hope this make sense :)

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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

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3 years ago

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Mashutka [201]

Answer:

A=(1,4) B=(-3,4) C=(-3,-1)

Step-by-step explanation: Point B will be plotted in the top left box. You start at 0 and go to your left 3 boxes then you go up one box.

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2 years ago

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deff fn [24]

The person on top might be a scam seen the same url too many times. J

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jekas [21]

Answer:

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Step-by-step explanation:

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