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2 years ago

Need some help with this

Mathematics

1 answer:

laiz [17]2 years ago

7 0

Answer:

Im NOT sure but maybe A?

Step-by-step explanation:

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100 POINTS!

steposvetlana [31]

Answer:

Area = 8 sq units

Step-by-step explanation:

Given vertices:

(1, 1),(1, 3),(5, 3),(5, 1)

To figure out area graph the vertices and count how many units are inside.

8 sq units

So 8 sq units is the area.

Area = 8 sq units

7 0

2 years ago

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X + (-9) = 32<br> What is the answer

bezimeni [28]

Answer:

the answer to x+(-9)=32 is x=41

3 0

2 years ago

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A particle moving in a planar force field has a position vector x that satisfies x'=Ax. The 2×2 matrix A has eigenvalues 4 and 2

andrey2020 [161]

Answer:

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

Step-by-step explanation:

Consider the provided matrix.

$v_1=\begin{bmatrix}-3\\1 \end{bmatrix}$

$v_2=\begin{bmatrix}-1\\1 \end{bmatrix}$

$\lambda_1=4, \lambda_2=2$

The general solution of the equation $x'=Ax$

$x(t)=c_1v_1e^{\lambda_1t}+c_2v_2e^{\lambda_2t}$

Substitute the respective values we get:

$x(t)=c_1\begin{bmatrix}-3\\1 \end{bmatrix}e^{4t}+c_2\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-3c_1e^{4t}-c_2e^{2t}\\c_1e^{4t}+c_2e^{2t} \end{bmatrix}$

Substitute initial condition $x(0)=\begin{bmatrix}-6\\1 \end{bmatrix}$

$\begin{bmatrix}-3c_1-c_2\\c_1+c_2 \end{bmatrix}=\begin{bmatrix}-6\\1 \end{bmatrix}$

Reduce matrix to reduced row echelon form.

$\begin{bmatrix} 1& 0 & \frac{5}{2}\\ 0& 1 & \frac{-3}{2}\end{bmatrix}$

Therefore, $c_1=2.5,c_2=1.5$

Thus, the general solution of the equation $x'=Ax$

$x(t)=2.5\begin{bmatrix}-3\\1\end{bmatrix}e^{4t}-1.5\begin{bmatrix}-1\\1 \end{bmatrix}e^{2t}$

$x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

The required position of the particle at time t is: $x(t)=\begin{bmatrix}-7.5e^{4t}+1.5e^{2t}\\2.5e^{4t}-1.5e^{2t}\end{bmatrix}$

6 0

2 years ago

My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

Assoli18 [71]

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

7 0

2 years ago

I have no idea how to work this problem out and the answer

NeTakaya

Answer:

B, D, C, A

Step-by-step explanation:

The question is asking to put the photographers into least to greast.

For the best case, I suggest you change them into decimals and put them in order.

Photgrapher A: 2/5 = 0.4 = 40%

Photographer B: 4% = 0.04 = 4%

Photographer C: 0.29 = 29%

Photographer D: 27/100 = 0.27 = 27%

Now put them into least to greatest.

Photographer B, Photographer D, Photographer C, And Photographer A

3 0

2 years ago

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