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Dmitry_Shevchenko [17]
3 years ago
6

Need a little help with this problem

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

Step-by-step explanation:

Rate (slope) of miles per gallon of gas: m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

(0, 0)

(2, 50)

m_{carA} = 25 mi/gal.

(0, 0)

(3, 60)

m_{carB} = 20 mi/gal.

Car B use less gasoline.

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Find the diameter of a circumstance of 25.56 inches<br>A. 6.28in<br>B. 8.14in<br>C. 6in<br>D. 3in
emmainna [20.7K]
C = π d 
<span>d = c / π </span>
<span>d = 25.56 / π </span>
<span>d = 8.14 in </span>
8 0
3 years ago
Is 4/6 bigger than 9/12
Nostrana [21]

Answer:

No

Step-by-step explanation:

4/6 is also equal to 8/12

9/12 is bigger than 8/12

3 0
3 years ago
What is 25 percent of 24?
coldgirl [10]
.25 times 24 equals 6
7 0
3 years ago
Read 2 more answers
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
The perimeter of this square is 20 inches.
Rashid [163]

Answer:

Amaya is wrong.

Step-by-step explanation:

The perimeter of the square is 20 inches, which means each side of the square needs to add up to 20 inches. If the side length of that side Amaya pointed out is 4 inches, then the total perimeter would only be 18 inches, in another case, if they were talking about the area of the square/rectangle (now), it would be 20 inches. So, Amaya is wrong.

5 0
3 years ago
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