Describe the parametric equations which traces the unit circle starting (-1,0) in a clockwise direction.

Answers

Answer 1

Step-by-step explanation:

There are several ways we can do this.

x = cos t, y = sin t, t ≥ 0 traces the unit circle in a counterclockwise direction starting at (1, 0).

To change the direction, we can multiply one of these by -1.  Then choose an initial value of t so that the starting point is (-1, 0).

x = -cos t, y = sin t, t ≥ 0

x = cos t, y = -sin t, t ≥ π

Or, we can change the direction by switching the equations.

x = sin t, y = cos t, t ≥ 3π/2

We can also multiply both by -1:

x = -sin t, y = -cos t, t ≥ π/2

Of these four examples, I would say the first is the simplest and most straightforward, but all of them achieve the same result.


Related Questions

You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?

Answers

Answer:

$27.60

Step-by-step explanation:

23×1.2=27.60 is the answer

In the figure, m∠1=(2x+40)° and m∠8=(12x−20)° . PLEASE HELP

For what value of x is m∥n ?

Enter your answer in the box.

x =

Answers

Answer:   x = 6

Step-by-step explanation:

Angles 1 and 8 are alternate exterior angles, so they are equal.

so you can create an equation to solve for x

12x−20 = 2x+40  Subtract 2x from both sides. Add 20 to both sides

10x = 60

x = 6

if you need the  m∠1, Substitute 6 for x.  (2x+40)°  2(6) +40= 12+40 m∠1= 52°

m∠8=(12x−20)°   12(6) - 20 = 72-20  m∠8 = 52°

44​% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is​ (a) exactly​ three, (b) at least​ four, and​ (c) at most two. If​ convenient, use technology to find the probabilities.

Answers

The answer to this is at least 4

The endpoints of AB are A(–7, –6) and B(5, 6). What are the coordinates of point C on AB that is 1/3 the distance from point A to point B?

Answers

Answer:

C

Step-by-step explanation:

find the distance between the two points and divide that by 3 first,

then you estimate the point that is from point A with that 1/3 distance

The coordinate of point C such that point C on AB that is 1/3 the distance from point A to point B is (-3,-2) so option (C) will be correct.

What are coordinates?

A pair of numbers is used to express a point's position on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).

Coordinate a point with intercept m: n and bounded by coordinate (x₁, y₁) and (x₂, y₂) is given by

x = [m(x₂) + n(x₁)]/(m + n)

y = [m(y₂) + n(y₁)]/(m + n)

Here m = 1/3 and n = (1-1/3) = 2/3

And coordinates A(–7, –6) and B(5, 6).

So,

x = [ 1/3(5) + 2/3(-7) ]/ 1

x = -3

And,

y =  [ 1/3(6) + 2/3(-6) ]/ 1

y = -2

So (-3,-2) will be the coordinate of point C.

Hence "The coordinate of point C is (-3,-2).

For more about coordinates,

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Whats 2x2 i will give you 14 points

Answers

Answer:

4

Step-by-step explanation:

2×2=4

hope that helped

Answer: 4

Step-by-step explanation: 2 x 2 = 4 dummy

What is the slope of the line on the graph?

Answers

Answer:

2/4

Step-by-step explanation:

You would have to count the number of units (rise over run)

Answer:

the slope is 1/2 .

Step-by-step explanation:

find the equation of the linear function represented by the table below in slope-intercept form. picture of table is below

Answers

Answer:

y = 3x+1

Step-by-step explanation:

Well, slope intercept form is y =mx+b, and to find the slope, you have to take two of the examples for y, and divide it by 2 examples of the x, like so:

7- (-5) / 2- (-2) which is 12/4 which is 3, so the slope is 3.

we now can make the first part of the equation:

y = 3x + b

Now we just need "b". To find b, just substitute the x and y values for two values shown on the chart, such as -2 and -5. (They have to be on the same row).

-5 = 3x-2 + b

you get:

-5 = -6+b

which is equal to:

b = 1

So, putting b back in the equation, you get:

y = 3x+1

A certain blueprint shows two fences. Fence A is 1 1/5 yards long but is 1 1/2 inches long on the 2 blueprint. What is the unit rate for inches per yard on this blueprint? If fence B is 4 yards long, how long is fence B on the blueprint?​

Answers

Answer:

Unit rate = 1.25 inches per yard

Length of fence B on the blueprint = 5 inches

Step-by-step explanation:

We are told that Fence A is 1 1/5 yards long but is 1 1/2 inches long on the blueprint.

This means it's 1.2 yards long but 1.5 inches on the blueprint.

Thus, the unit rate for this blueprint will be; 1.5/1.2 = 1.25 inches per yard

fence B is 4 yards long.

Thus, the corresponding blueprint measurement = 4yards × 1.25 inches/yard = 5 inches.

How many times do you need to regroup to add 873 + 465 ? Explain .

Answers

Answer:

2

Step-by-step explanation:

To find the answer to this question, we need to add the numbers according to their place. Etc if 1 and 4 are together in a hundreds place, we add them together. If both numbers add up together results in a number bigger than 9, we have to regroup.

First, let us find the ones place.

3+5=8

Since the result is not more than 9, we do not have to regroup.

Secondly, we find the tens place.

7+6=13

Since the result is more than 9, we have to regroup.

Regrouping counter:1

Thirdly, we find the hundreds place.

8+4=12

Regrouping counter:2

Hence, your final answer is 2.

The number of times we need to group when summing 873 and 465 is 2.

During addition of two numbers, values are added based on their place values, such that digits with the same place value are added together.

The highest single value that can be obtained when summing values without needing to regroup is 9.

Hence, each time two digits are added such that the value of the sum exceeds 9, then regrouping is required.

Adding 873 + 465

H __ T __ U

8 __ 7 __ 3

4 __ 6 __ 5

(3 + 5) = 8 ( NO NEED TO REGROUP)

7 + 6 = 13 (WE NEED TO REGROUP) SUM exceed 9

(8 + 4 + 1) = 13 (WE NEED TO REGROUP) SUM exceed 9

Hence, the number of times we need to regroup is 2.

Learn more : https://brainly.com/question/5117026

What Is 3 times blank equelas 27?

Answers

Answer:

3 * 9 = 27

Step-by-step explanation:

3 * 9 = 27

Answer:

3 times 9 equals 27

Step-by-step explanation:

3x1=3

3x2=6

3x3=9

3x4=12

3x5=15

3x6=18

3x7=21

3x8=24

3x9=27

THIS IS DUE IN 1 HOUR I WILL MARK BRAINLIEST
Jack has 24 game cards. He divides them between his brother, his sister, and himself in the ratio 2:1:5. How many cards does each get?
THERE IS 15 POINT WAITING FOR YOU

Answers

Answer:

brother gets 6 cards

sister gets 3 cards

he gets 15 cards

Answer:

8

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(-6, 4) and (-1,-6)

Answers

Answer:

Hello

Midpoints of (-6,4),(-1,-6)

P(a,b)=(x1+x2/2),(y1+y2/2)

        =(-6+-1/2),(4+-6/2)

        =(-7/2),(-2/2)

        =(-7/2),(-1)

Midpoints of the segment with endpoints (-6, 4) and (-1,-6) are (-7/2),(-1)

Hope it helps you......

write an equation to solve for x your only writing the equation 7x +9 5x +3 will mark brainiest​

Answers

Answer:

-3

Step-by-step explanation:

7x+9=5x+3

2x+9=3

2x=-6

x=-3

Answer:

equation is  7x +9 = 5x +3x = -3

Step-by-step explanation:

7x +9 = 5x +3

combine like terms

7x - 5x = 3 - 9

2x = -6

x = -6/2

x = -3

proof:

7x +9 = 5x +3

7(-3) +9 = 5(-3) +3

-12 = -12  ---- ok

ma + (t + h)

M is -2

A is 5

T is -4

H is -8

Answers

Answer:

a

Step-by-step explanation:

Answer:

-22

explanation step by step

-2(5)+(-4+-8)

-10+-12

= -22

Solve for x: 6(2x - 4) = 7(21 - 8)

Answers

Answer:

[tex]9 \frac{7}{12} [/tex]

Step-by-step explanation:

Expand:

[tex]6(2x) + 6( - 4) = 7(13) \\ 12x - 24 = 91[/tex]

+24 on both sides:

[tex]12x = 91 + 24[/tex]

Simplify:

[tex]12x = 115[/tex]

÷12 on both sides:

[tex]x = 115 \div 12 \\ x = 9 \frac{7}{12} [/tex]

Answer:

x = 9.583 or 115/12

Step-by-step explanation:

Hope this helps!!

porcentaje de 70 y 35​

Answers

Answer:

50%

Step-by-step explanation:

35/70 = 50%

Answer:

debe ser 30 porque la distancia entre 70 y 35 es 40.

Step-by-step explanation:

70 - 35 = 35

How do you round each number to the place value of the underlined digit?

Answers

Answer:

9. 80, 547.65

10. 135,702.0

A Ferris wheel has a radius of 65 feet. What is the
circumference of the wheel? (This is the distance each
passenger will travel in one complete revolution.)
Round to the nearest tenth, and use
T 3.14

Answers

Answer:

408.41 feet

Step-by-step explanation:

C = 2πr

C = 2π(65)

C = 408.41 feet

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?

Answers

Answer:

$513.75

Step-by-step explanation:

An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.

$498.75 + $2.50 × x

If he works 6 hours on the weekend in addition to the 35 hours during the week:

$498.75 + $2.50 × 6

= $498.75 + $15

= $513.75

Please help I’m not sure if my answer is correct!!!

Answers

Answer:

i would say it is GOOD JOB

Step-by-step explanation:

pleaseeeeeeeeeeee brainliest

Answers

Answer:

what?

Step-by-step explanation:

the exact value of 5.2 billion ÷100 is
(use scientific notation, round to three decimal places as needed)

Answers

The answer is:

5.2 x 10^7 or 52,000,000

what is y + 1=x in slope intercept form?​

Answers

Answer:

My answer is in the equation

Step-by-step explanation:

where m is the slope and b is the y-intercept. Subtract x from both sides of the equation. Multiply both sides by −1

Simplify the expression
(-n³+8)+(-n³+5)

Answers

when simplified the answer is -2n^3+13

Answer: -2n^3+13

Step-by-step explanation:

Use PEMDAS

P- ()

E _^

M *

D /

A +

S -

2/3p-7=1/4p+12 help me please

Answers

Answer:

p=228/5

Step-by-step explanation:

2/3p-7=1/4p+12

12(2/3p-7)=12(1/4p+12)

8p-84=3p+144

5p-84=144

5p=228

p=228/5

Check:

2/3(228/5)-7=1/4(228/5)+12

30.4-7=11.4+12

23.4=23.4


The psychology club is having a self-proclaimed psychic come to their campus fund-raising event to demonstrate his abilities. He charges $200 for these events, and the club is charging 51.50 for
tickets with a chance to have the psychic read the ticket holder's mind.

Let x represent the number of tickets sold and y represent money. Fill in the items below for the linear model
Y=? X +?
How much would the club gain or lose by selling 100 tickets?

How many tickets are needed to break even? (Round to nearest whole ticket)

Answers

It would 20,000000000

Jody sprints 400 meters per minute. How fast does she run in meters per second? Round to the nearest hundredth. *
1 point
Your answer

Answers

Answer:

399

Step-by-step explanation:

I’ve got 399 hope it helped

Given f(x) = {(4 - x), what is the value of f(16)?​

Answers

Answer:

f(16)= 4-16

f(16)= -12

If you can walk 5.3 miles in 3.2 hours, how many minutes does it take to walk 1.74 miles?

Answers

Answer:

Let x be the number of hours for 1.74 miles

5.3 miles         3.2 hours

1.74 miles        x

When you cross multiply the above numbers you get the equation:

5.3x = 5.568

x = 5.568/5.3

x = 1.05

Therefore it takes 1.05 hours to walk 1.74 miles.

Find the line that is perpendicular to line n that passes through point (2, –3).

If the slope of the perpendicular line is -2/5, what is the y-intercept of the perpendicular line?


A. b = -19/5

B. b = -11/5

C. b =4/5

D. b = 2




The answer is B. (b = -11/5)

Answers

The answer is B 11/5
the answer is b, -11/5
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