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vodomira [7]
3 years ago
15

What can be measured by meters​

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Meters are used to measure everything between the length of a ruler and the distance between things in a room. Most household objects such as tables, rooms, window frames, television screens, etc. would be measured in meters. Kilometers are used to measure long distances.

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.
scZoUnD [109]

Answer:

y=\frac{C}{x}.

Step-by-step explanation:

Given homogeneous equation

x^2ydy+xy^2dx=0

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}

Substitute y=ux , u=\frac{y}{x}

\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}

Now,

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}

u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u

\frac{\mathrm{d}u}{\mathrm{d}x}=-2u

\frac{du}{u}=-\frac{dx}{x}

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

lnu+ln{x}^2=lnC

lnux^2=lnC

Cancel ln on both side

ux^2=C

Substitute u=\frac{y}{x}

Then we get

xy=C

y=\frac{C}{x}.

Answer:y=\frac{C}{x}.

8 0
3 years ago
Please help with 5 I don’t get it
Alexxandr [17]

Answer:

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Step-by-step explanation:

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3 0
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Answer:

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Step-by-step explanation:

6 0
3 years ago
Identify the solution and graph of the given inequality.<br> 34 &gt; 3(2 − x)
Verizon [17]

Answer:

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The graph is shown in figure attached.

Step-by-step explanation:

We need to solve the inequality: 34 > 3(2-x)

Solving:

34 > 3(2-x)\\

Switching the sides , reversing the inequality and  Multiply 3 with terms inside the bracket

3(2-x)

Subtract 6 from both sides

6-3x-6

Divide both sides by -3 and inequality will be reversed

\frac{-3x}{-3} >\frac{-28}{3} \\x>\frac{-28}{3}\\x>-9.33

Solving the inequality we get x>-9.33

The graph is shown in figure attached.

6 0
3 years ago
Joseph drives a 125 miles in 2 1/2 hours . at the same rate how far will he be able to travel in 6 hours
Blizzard [7]
Joseph drives 50 miles an hour. Times this by 6 hrs equals 300 miles.
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