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3 years ago

Quadrilateral RSTU has one pair of opposite parallel sides and one pair of opposite congruent sides as shown.

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

Answer:

A It cannot be determined from the information given.

Step-by-step explanation:

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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3 years ago

Questions are on the picture, a-e.

iris [78.8K]

The equilibrium price is $1.12.
If price is $0.98, there would be scarcity of Super Widgets.
When price is $0.98, quantity demanded is y.
When price is $0.98, quantity supplied is x.
When price is $1.22, there would be a surplus of Super Widgets.

<h3>What is equilibrium? </h3>

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

To learn more about equilibrium, please check: brainly.com/question/26075805

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2 years ago

What is 9-(30) please help

Murrr4er [49]

21 and download math papa

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3 years ago

The scale on a map is 1 : 500000 <br> Two towns are 7cm apart on the map

KengaRu [80]

1 : 500,000

multiplied by 7 cm is

7 cm : 3,500,000 cm

= 7 cm : 35000.00 m . . . (100 cm in 1 m)

= 7 cm : 35 km . . . (1000 m in 1 km)

The actual distance between the towns is 35 km.

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3 years ago

Hey can someone help me out thank! :D ITS DUE TODAY PLZZZ!!!!

Pani-rosa [81]

Answer:

Hey can someone help me out thank! :D ITS DUE TODAY PLZZZ!!!!

1. Use the integer multiplication facts in their integer bubble to create six related integer division facts.

2.The quotient of any two integers (with a non zero divisor) will be a rational number. If and are integers, then - (p/q)= (---)=(----)

3. Mrs. McIntire, a seventh-grade math teacher, is grading papers. Three students gave the following responses to the same math problem: 1/-2 -(1/2) -1/2

4.On Mrs. McIntire’s answer key for the assignment, the correct answer is −0.5. Which student answer(s) is (are) correct? Explain.

Step-by-step explanation:

6 0

3 years ago

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