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3 years ago

3x+4y<12 please help me graph and solve this inequality thx

Mathematics

1 answer:

likoan [24]3 years ago

5 0

Hey can you give us more information

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Consider the force field and circle defined below.

grin007 [14]

By Green's theorem,

$\displaystyle\int_{x^2+y^2=9}\vec F(x,y)\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(xy)}{\partial x}-\frac{\partial(x^2)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=\iint_Dy\,\mathrm dx\,\mathrm dy$

where $C$ is the circle $x^2+y^2=9$ and $D$ is the interior of $C$ , or the disk $x^2+y^2\le1$ .

Convert to polar coordinates, taking

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$

Then the work done by $\vec F$ on the particle is

$\displaystyle\iint_Dy\,\mathrm dx\,\mathrm dy=\int_0^{2\pi}\int_0^3(r\sin\theta)r\,\mathrm dr\,\mathrm d\theta=\left(\int_0^{2\pi}\sin\theta\,\mathrm d\theta\right)\left(\int_0^3r^2\,\mathrm dr\right)=\boxed0$

4 0

3 years ago

A line has a slope of 1/4 and passes through the point (4,8). Write the equation of the line in slope intercept form.

Yuri [45]

Answer:

y = 1/4x +7

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 1/4 x +b

Substitute the point into the equation

8 = 1/4(4) +b

8 = 1 +b

Subtract 1 from each side

8-1 =b

7 =b

y = 1/4x +7

6 0

3 years ago

In addition to age, the gomez score was originally based on the measurements of:

Musya8 [376]

Measures of height
width does not matter

3 0

3 years ago

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today. What is the percentage increase of

xxMikexx [17]

Given:

Kim picked 250 pounds of pears yesterday and 287 pounds of pears today.

To find:

The percentage increase of amount of pears picked by Kim.

Solution:

We know that,

$\%\text{ increase}=\dfrac{\text{New value - Initial value}}{\text{Initial value}}\times 100$

$\%\text{ increase}=\dfrac{287-250}{250}\times 100$

$\%\text{ increase}=\dfrac{37}{25}\times 10$

$\%\text{ increase}=\dfrac{370}{25}$

$\%\text{ increase}=14.8$

Therefore, the percentage increase of amount of pears picked by Kim is 14.8%.

7 0

3 years ago

The area of a playground is 2,400 square yards, and the width is 40 yards. What is the length of the playground? PLEASE HELP

Dmitrij [34]

The answer you are looking for is 60 yards!
You can use the formula x*y=z
Making 40*y=2400
Do 2400/40= 60
40*60=2400
Making 60 your length of the playground!
I hope this helps!

5 0

3 years ago