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dalvyx [7]
3 years ago
9

What is the conjugate √8-√9​

Mathematics
2 answers:
Semmy [17]3 years ago
6 0

Answer:

\frac{-1}{(\sqrt{8}+\sqrt{9}  )}

vagabundo [1.1K]3 years ago
4 0

Answer:

the water here is wet.

Step-by-step explanation:

You might be interested in
What is angle B?<br><br> 1. 65°<br> 2. 55°<br> 3. 35°<br> 4. 90°
vfiekz [6]

Answer:

22°

Step-by-step explanation:

what you do is you take the angles 35° and 90°

You add them up, that would be 125°

the actual equation would be

35+90=180

 125=180

-125    

------------------

∠ B= 22°      

Hope this helps!

Reason this is wrong is i didn't notice the 10 cm

6 0
2 years ago
(1) (10 points) Find the characteristic polynomial of A (2) (5 points) Find all eigenvalues of A. You are allowed to use your ca
Yuri [45]

Answer:

Step-by-step explanation:

Since this question is lacking the matrix A, we will solve the question with the matrix

\left[\begin{matrix}4 & -2 \\ 1 & 1 \end{matrix}\right]

so we can illustrate how to solve the problem step by step.

a) The characteristic polynomial is defined by the equation det(A-\lambdaI)=0 where I is the identity matrix of appropiate size and lambda is a variable to be solved. In our case,

\left|\left[\begin{matrix}4-\lamda & -2 \\ 1 & 1-\lambda \end{matrix}\right]\right|= 0 = (4-\lambda)(1-\lambda)+2 = \lambda^2-5\lambda+4+2 = \lambda^2-5\lambda+6

So the characteristic polynomial is \lambda^2-5\lambda+6=0.

b) The eigenvalues of the matrix are the roots of the characteristic polynomial. Note that

\lambda^2-5\lambda+6=(\lambda-3)(\lambda-2) =0

So \lambda=3, \lambda=2

c) To find the bases of each eigenspace, we replace the value of lambda and solve the homogeneus system(equalized to zero) of the resultant matrix. We will illustrate the process with one eigen value and the other one is left as an exercise.

If \lambda=3 we get the following matrix

\left[\begin{matrix}1 & -2 \\ 1 & -2 \end{matrix}\right].

Since both rows are equal, we have the equation

x-2y=0. Thus x=2y. In this case, we get to choose y freely, so let's take y=1. Then x=2. So, the eigenvector that is a base for the eigenspace associated to the eigenvalue 3 is the vector (2,1)

For the case \lambda=2, using the same process, we get the vector (1,1).

d) By definition, to diagonalize a matrix A is to find a diagonal matrix D and a matrix P such that A=PDP^{-1}. We can construct matrix D and P by choosing the eigenvalues as the diagonal of matrix D. So, if we pick the eigen value 3 in the first column of D, we must put the correspondent eigenvector (2,1) in the first column of P. In this case, the matrices that we get are

P=\left[\begin{matrix}2&1 \\ 1 & 1 \end{matrix}\right], D=\left[\begin{matrix}3&0 \\ 0 & 2 \end{matrix}\right]

This matrices are not unique, since they depend on the order in which we arrange the eigenvalues in the matrix D. Another pair or matrices that diagonalize A is

P=\left[\begin{matrix}1&2 \\ 1 & 1 \end{matrix}\right], D=\left[\begin{matrix}2&0 \\ 0 & 3 \end{matrix}\right]

which is obtained by interchanging the eigenvalues on the diagonal and their respective eigenvectors

4 0
3 years ago
A skydiver's speed during a free fall
Alekssandra [29.7K]

Answer:

Below in bold.

Step-by-step explanation:

1. 165/3.3 = 50 meters/second.

2. In 4 seconds the skydiver will fall 4*50 = 200 meters.

5 0
2 years ago
Slope -2/3 .x-intercept at 3 written in y=mx+b
siniylev [52]
Given the slope, m = -2/3, and the x-intercept, (3,0):

Use these values and plug into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

0 = -2/3(3) + b

0 = -2 + b

Add 2 to both sides to isolate b:

0 + 2 = -2 + 2 + b

2 = b

Now that we have our slope, m = -2/3, and the y-intercept, 2

The linear equation in slope-intercept form is:

y = -2/3x + 2


Please Mark my answers as the Brainliest, if you find this helpful :)
5 0
3 years ago
A dive ring on the bottom of the pool is 10 feet below the surface of the water. Sabine dives down and brings the ring back to t
MissTica

The surface of the water is 0 feet. So 10 feet down means it is 0 - 10, or -10 feet as its final position.


8 0
3 years ago
Read 2 more answers
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