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a. Parameterize C₁ by

[tex](x(t),y(t)) = (1-t)(-13,-7) + t(0,6) = (-13+13t,-7+13t)[/tex]

with 0 ≤ t ≤ 1. Then both dx = 13 dt and dy = 13 dt, so that the line integral along C₁ is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_0^1 (-7+13t)^2(13\, dt) + (-13+13t)(13\,dt)[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \int_0^1 (169t^2 - 169t + 36) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = 13 \left(\frac{169}3-\frac{169}2+36\right) = \boxed{\frac{611}6}[/tex]

b. Parameterize C₂ by

[tex](x(t),y(t)) = (36-t^2,t)[/tex]

with -7 ≤ t ≤ 6. Then dx = -2t dt and dy = dt, so the line integral is

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 t^2(-2t\,dt) + (36-t^2)\,dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \int_{-7}^6 (36-t^2-2t^3) \, dt[/tex]

[tex]\displaystyle \int_C y^2\,dx + x\,dy = \left(36\cdot6-\frac{6^3}3-\frac{6^4}2\right) - \left(36\cdot(-7)-\frac{(-7)^3}3-\frac{(-7)^4}2\right) = \boxed{\frac{5005}6}[/tex]

Step-by-step explanation:

given,

x² + y² = 40

2xy = 24

(x + y)² = x² + 2xy + y²

so,

40 + 24 = 64

therefore option C is correct

hope this answer helps you dear!

Answer:

The answer should be C which is 64

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

hi i know i'm late but might as well add my answer!

here's your answer: B D E or

B.choosing 1 red marble

D.choosing 1 white marble, replacing it, and choosing another white marble

E.choosing 1 white marble    

hope i helped

Answer:

b d and e

Step-by-step explanation:

ya

Answer:

Hundreds : 1

Tens : 6

Ones : 2

.

Tenths : 8

Hundredths : 9

Thousandths : 1

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

Answer:

15%

Step-by-step explanation:

Because 5 x 3 = 15%. So the answer is 15%

Answer:

Diagram "C"

Step-by-step explanation:

The curve eventually shows that it is an exponentially graph

Answer: 4

Step-by-step explanation:

So, what I do to divide fractions is to turn them into reciprocals, which means changing it into a multiplication problem and turning the second fraction upside down. So, [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]. We multiply across, so 2 x 6 is 12, and 3 x 1 is 3, which gets us to [tex]\frac{12}{3}[/tex]. Since this is an improper fraction, we can simplify by dividing 12 by 3 to get 4. Hope this helps! :)

Answer:

4 (C) hope this helps!!

BYEEEEEEEEE!

Answer:

-11

Step-by-step explanation:

3 - 11 = -8

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

Step 2: Multiply both sides by 7x.

Step 3: Divide both sides by 98.

Step 4: Check if solution is correct.

Therefore, the answer is 1/98.

Answer:

4 for the first one, 1 for the second one

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The sides are not equal.

Answer:

see explanation

Step-by-step explanation:

The rule explains what happens to the input value in order to obtain the output.

input = 4 , then divide by 4

4 ÷ 4 = 1 , then add 2

1 + 2 = 3

---------------------------------------

input = 6 , divide by 4

6 ÷ 4 = 1,5 . now add 2

1.5 + 2 = 3.5

-----------------------------------------

input = 8 , divide by 4

8 ÷ 4 = 2 , now add 2

2 + 2 = 4

-------------------------------------------

input = 10 , divide by 4

10 ÷ 4 = 2.5 , now add 2

2.5 + 2 = 4.5

--------------------------------------------

input  |  0 | 2 |   4 |  6 |  8 | 10

------------------------------------------

output| 0 | 2.5 | 3 | 3.5 | 4 | 4.5        

Answer:

Ok, Dear This is the most easy question.

Focus with me , Ill tell you the answer and explain it

First answer :3

Secound answer:3.5

Third answer:4

Last one :4.5

Step-by-step explanation:

So Baisicly,

First answer : We Devide 4 by 4 so its equal to 1 and then we add 2 then its equal to 3.

Secound answer: We divide 6 by 4 so it becomes 1.5 and then add 2 so itll become 3.5.

Thid answer: We divide 4 by 8 and so it becomes equal to 2 and then we add 2 so its 4.

Last one: We divide 4 by 10 and so it becomes 2.5 and then we add 2 so itll become 4.5.

Step-by-step explanation:

Given function:

See the graph below

According to the graph we see that

The minimum is (-4, -1) and zero's are (-5, 0) and (-3, 0)

Function is positive:

Negative:

Increasing:

Decreasing:​

Answer:

1 & 3 correct, not sure how race method is used but it should be enough

Step-by-step explanation:

1 is correct since when you add 3 to -3 you get zero and leaves x on the left of the equal sign. then it's equally on both side so you add 3 to 6

2 isn't correct, -3-3 gives -6 and x-6=3 won't give much of an answer

3 is also correct. You basically think "a number that's 6 when you take away 3? could it be 9?" then you try and go 9-3? yes it's 6.

Answer:

16 I guess.

Step-by-step explanation:

lolololololol?

True.

The y-axis of the f(x) must equal to the x-axis of g(x)

The x-axis of the f(x) must equal to the y-axis of g(x)

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.

Answer:

Angle 145 degrees

Step-by-step explanation:

Hope it can help you lovelots

Answer:

  Z ≈ -0.100

Step-by-step explanation:

A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).

  Z ≈ -0.100

Answer:

you plus them together then you get 42 out of your number you close during / N which is 3 to get your final answer thank

Answer:

a = 3

Step-by-step explanation:

ok so first you do the reciprocal of division which is multiplication. So its gonna be 3/4 x 1/a = 1/4

you multiply the fractions 3/4 x 1/a and get 3/4a = 1/4

then you cross multiply and you get 12=4a

swap sides so its going to be 4a = 12

divide both sides by 4 and you get a = 3

Answer:

m∠E=57°

Step-by-step explanation:

∠FDE=∠FED=(4x+1)° (base angles of isos triangle)

2(4x+1)+(5x-4)=180 (angle sum of triangle)

    8x+2+5x-4=180

             13x-2=180

                 13x=180+2

                       =182

                     x=182÷13

                       =14

Hence, m∠E = (4x+1)°

                     = [4(14)+1]°

                     = (56+1)°

                     = 57°

Answer:

m∠E=57º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(4x+1)+(4x+1)+(5x-4)=180

Remove parentheses.

4x+1+4x+1+5x-4=180

Collect like terms.

13x+1+1-4=180

Add and subtract.

13x-2=180

Add 2 from both sides of the equation.

13x=182

Divide 13 from both sides of the equation.

x=14

m∠E=(4x+1)º

4x14+1=57º

m∠E=57º

Hope this helps :)

Answer:

60 kilometers per hour.

420 kilometers will be covered

Step-by-step explanation:

speed = distance ÷ time.

so 60kmh = 240km divided by 4 Hours

60km = 1 Hour of distance

240km = 4 Hours of distance

Therefore 60 x 3 hour is 180km added to 240 is 420km. So in 7 hours traveling 60 kilometers per hour the will cover 420kms.

Answer:

Solution:

3/7x = 12

3/7x ÷ 3/7 = 12 ÷ 3/7 ( divide 3/7 in both sides )

x = 12 ÷ 3/7 (divide)

x = 84/3 (simply divide 84 and 3)

x = 28

_______________________

(solution for dividing the fraction and the whole number 12 and 3/7, for those who don't know how to divide fractions and whole numbers...)

12/1 ÷ 3/7

12/1 ÷ 7/3 (reciprocal method)

12/1 × 7/3 (change operation to multiplication)

12/1 × 7/3 = 84/3 (multiply)

84/3 ⇒ 28 (simplify)

Answer:

slope = -4

Step-by-step explanation:

m=y2-y1/x2-x1

20-0/0-5

20/-5

= -4

Answer: C

Step-by-step explanation: the guy up top is correct:)