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rosijanka [135]
2 years ago
11

Sketch the region bounded by the curves, and visually estimate the location of the centroid. y = 2x, y = 0, x = 1 WebAssign Plot

WebAssign Plot WebAssign Plot WebAssign Plot Find the exact coordinates of the centroid.

Mathematics
1 answer:
ASHA 777 [7]2 years ago
4 0

Answer:

the graph is in the attachment.

the coordinates of the centroid : (2/3,2/3)

Step-by-step explanation:

  • y=0 represents x-axis ( you can easily mark it on the graph)
  • now draw x=1 line.( It is a line parallel to y axis and passing through the point (1,0) )
  • y=2x is a line which passes through origin and has a slope "2"

by using these sketch the region.

I have uploaded the region bounded in the attachment. You may refer it. The region shaded with grey is the required region.

  • to find centroid:

it can be easily identified that the formed region is a triangle

  • the coordinates of three vertices of the triangle are

(1,2) , (0,0) , (1,0)

( See the graph. the three intersection points of the lines are the three vertices of the triangle)

  • for general FORMULA, let the coordinates of three vertices of a triangle PQR be P(a,b) , Q(c,d) , R(e,f)
  • then the coordinates of the centroid( let say , G) of the triangle is given by

G = (\frac{a+c+e}{3}  , \frac{b+d+f}{3} )

  • therefore , the exact coordinates of the centroid =

(\frac{1+0+1}{3}, \frac{2+0+0}{3}  ) = (\frac{2}{3}, \frac{2}{3} )

this point is marked as G in the graph uploaded.

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Step-by-step explanation:

Given

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At a local print shop, 18 copies can be made for $6. At this rate, how much would it
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1 year ago
Find the value of y in the formula y=5a-3b c, if a=12,b=4,c=8
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Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level. how m
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The addison see to the horizon at 2 root 2mi.

We have given that,Kaylib’s eye-level height is 48 ft above sea level, and addison’s eye-level height is 85 and one-third ft above sea level.

We have to find the how much farther can addison see to the horizon

<h3>Which equation we get from the given condition?</h3>

d=\sqrt{\frac{3h}{2} }

Where, we have

d- the distance they can see in thousands

h- their eye-level height in feet

For Kaylib

d=\sqrt{\frac{3\times 48}{2} }\\\\d=\sqrt{{3(24)} }\\\\\\d=\sqrt{72}\\\\d=\sqrt{36\times 2}\\\\\\d=6\sqrt{2}....(1)

For Addison h=85(1/3)

d=\sqrt{\frac{3\times 85\frac{1}{3} }{2} }\\d\sqrt{\frac{256}{2} } \\d=\sqrt{128} \\d=8\sqrt{2} .....(2)

Subtracting both distances we get

8\sqrt{2}-6\sqrt{2}  =2\sqrt{2}

Therefore, the addison see to the horizon at 2 root 2mi.

To learn more about the eye level visit:

brainly.com/question/1392973

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2 years ago
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