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Butoxors [25]
3 years ago
11

Y=-x-4

Mathematics
1 answer:
aliina [53]3 years ago
5 0

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached

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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
HELP HELP HELP I WILL GIVE BRAINLIEST <br> NO B.S. ANSWERS PLEASE
Whitepunk [10]
I believe it’s x=2.5 or x=2 1/2 or x=5/2
They are all the same answers in different forms . Hope it’s right
8 0
3 years ago
HELP PLEASE 20 POINTS <br> 1) What is the equation of the line in slope-intercept form?
Nezavi [6.7K]

Answer:

y = (-5/4)x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b

m is the slope and b is the y-intercept

To find m, we can use the plotted points on the graph

(0,5)(4,0)

Now, do delta y/ delta x

(0-5)/(4-0)

slope = -5/4

Now, the y-intercept is the point where the graph crosses the y-axis

This point is where x is 0. Here, when x is 0, y is 5.

Therefore, the y-intercept is 5

Finally, replace what you've found into the equation

y = (-5/4)x + 5

8 0
3 years ago
Read 2 more answers
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
Luke plotted the number of hits he got in his baseball games this season versus the number of games played on a scatter plot. He
olga nikolaevna [1]

Answer:

Step-by-step explanation:

True

False

False

7 0
3 years ago
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