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lakkis [162]
3 years ago
13

In form ax+by+c=0

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4
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How to find the average squared distance between the points of the unit disk and the point (1,1)
ddd [48]
The unit disk can be parameterized by the function

\mathbf p(r,\theta)=(r\cos\theta,r\sin\theta)

where 0\le r\le 1 and 0\le\theta\le2\pi. The squared distance between any point in this region (x,y)=(r\cos\theta,r\sin\theta) and the point (1, 1) is

(x-1)^2+(y-1)^2=(r\cos\theta-1)^2+(r\sin\theta-1)^2
=(r^2\cos^2\theta-2r\cos\theta+1)+(r^2\sin^2\theta-2r\sin\theta+1)
=r^2(\cos^2\theta+\sin^2\theta)-2r(\cos\theta-\sin\theta)+2
=r^2-2r(\cos\theta-\sin\theta)+2

The average squared distance is then going to be the ratio of [the sum of all squared distances between every point in the disk and the point (1, 1)] to [the area of the disk], i.e.

\dfrac{\displaystyle\iint_{x^2+y^2
=\dfrac{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}[r^2-2r(\cos\theta-\sin\theta)+2]r\,\mathrm dr\,\mathrm d\theta}{\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=1}r\,\mathrm dr\,\mathrm d\theta}
=\dfrac{\frac{5\pi}2}\pi=\dfrac52
5 0
3 years ago
If a parallelogram has diagonals that are perpendicular bisectors of each other, what is the most descriptive name for it?
Feliz [49]
Both a rhombus and a rectangle have diagonals that are perpendicular bisectors, but the ones formed in a square are all congruent, so that is probably the most descriptive one.
6 0
3 years ago
The sum of the lengths of two opposite sides of the circumscribed quadrilateral is 10 cm, and its area is 12 cm2. Find the radiu
PtichkaEL [24]

Answer:

1.2 cm

Step-by-step explanation:

The area of sircumscribed quadrilateral over a circle is equal to

A=s\cdot r,

where s is semi-perimeter of the quadrilateral and r is the radius of the circle.

Use property of circumscribed quadrilateral: The sums of the opposite sides are equal.  

So, if the sum of two opposite sides of the circumscribed quadrilateral is 10 cm, then the sum of another two sides is also 10 cm and the perimeter of the quadrilateral is 20 cm. Hence,

s=\dfrac{20}{2}=10\ cm

Now,

A=s\cdot r\\ \\12=10r\\ \\r=\dfrac{12}{10}=1.2\ cm

8 0
3 years ago
The cloth shop has announced a reduction in price by 25%. How many shirts priced at Rs 28 should buy to avail a total reduction
Drupady [299]

Answer:

At least 6 shirts should be brought to avail a total reduction of Rs 40.

Step-by-step explanation:

The marked price of each shirt = Rs 28

Discount offered = 25%

So, 25% of marked price  28 = \frac{25}{100}  \times 28 = 7

⇒Reduction on each shirt is Rs 7

Now, total amount reduction needed = Rs 40

So, number of shirts purchased = \frac{\textrm{Total reduction needed}}{\textrm{Reduction on each shirt}}

= 40  Rs /7  Rs  =  5. 71  ≈  6

So, at least 6 shirts should be brought to avail a total reduction of Rs 40.

5 0
3 years ago
  2<br>x^-8x+12<br> --------------<br>   2<br>x^-36
inn [45]

\frac{x { }^{2}  - 2x - 6x + 12}{ (x - 6)(x + 6)}  \\  \\  \frac{x(x - 2) - 6(x - 2)}{(x  - 6)(x + 6)}  \\  \\ \frac{(x - 2)(x - 6)}{(x - 6)(x + 6)}  \\  \\  \frac{x - 2}{x + 6}
8 0
3 years ago
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