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2 years ago

Will give brainliest

Mathematics

1 answer:

Katen [24]2 years ago

3 0

Answer:

Trapezoid

Step-by-step explanation:

The two sloped opposite sides are congruent. The two uncongruent opposite sides are parallel. There are no right angles. You can do this by finding the distance and slopes of the lines.

Not triangle because has four vertices.

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Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

What is the median of this data set? Help NO links are you will be reported and NO fake answers for points. Thank you

Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

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3 years ago

One roll of carpet covers 900 square feet. how many rolls of carpet would be needed for a room that is 40ft. x 60ft.?

harina [27]

3 rolls of carpet

the square footage of 40ft*60ft=2,400
well then you divide it and you would need 3 rolls because the answer is 2.6 and then you would just round up

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3 years ago

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Which of these is a rational number A. √150 B. √441 C. √200 D.√250

dlinn [17]

B. sqrt(441) is rational

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3 years ago

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What is 8,000,000 + 100,000 + 7,000 + 400 + 20 + 4 in standard form?

DIA [1.3K]

Answer:

8,107,424

Step-by-step explanation:

The 8,000,000 would stay the same, but the second zero would be switched by a one. The third number would still just be a zero. The other zero would turn into a seven, and the last three numbers would be 4, 2 and 4. You can also find the number by adding.

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3 years ago

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