Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

Answers

Answer 1

Hi there!

[tex]\large\boxed{(-\frac{5}{3},-\frac{5}{3})}[/tex]

We can begin by setting the two expressions equal to solve for t:

2t - 1 = 5t

Subtract 2t from both sides:

-1 = 3t

Divide both sides by 3:

t = -1/3

Plug in this value of t into x(t) and y(t):

x(-1/3) = 2(-1/3) - 1 = -2/3 - 1 = -5/3

y(-1/3) = 5(-1/3) = -5/3

Thus:

(-5/3, -5/3) are the corresponding coordinates.


Related Questions

Kurt's pool table is 4 feet wide and 6 feet long. Kurt wants to replace the felt on the pool table. The felt costs $5.00 per square foot. How much would it cost in total to replace the felt on the pool table?

Answers

Answer:

$120

Step-by-step explanation:

6 times 4 is 24, which gives us the square footage of the pool. We then multiply 24 times 5, which gives us 120.

The bowling team at Lincoln High School must choose a president, vice president,
and secretary. If the team has 12 members, how many ways could the officers be
chosen?

Answers

Answer:

The officers can be chosen in 1320 ways.

Step-by-step explanation:

The order in which the officers are chosen is important(the first is president, second vice president and third secretary) which means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

3 officers from a set of 12. So

[tex]P_{(12,9)} = \frac{12!}{9!} = 1320[/tex]

The officers can be chosen in 1320 ways.

What fraction is equal to the length of the red segment?

Answers

Answer:

The red segment is from 1/4 to 3/4.

Step-by-step explanation :

Answer:

The red segment is from 1/4 to 3/4.

3/4 - 1/4 = 2/4

2/4 = 1/2

1/2

This answer can also be found by seeing there are four equal boxes making up the one larger box, since two out of the four boxes are filled then the fraction would be 2/4, which simplifies to 1/2

What is an angle that is adjacent to CDI?

Answers

Answer:

IDH or CDE

Step-by-step explanation:

adjacent angles share same vertex and share one side so it's either IDH or CDE.

two x subtracted by eight
2x + 8

Answers

Answer:

(2x-8)(2x+8)

4x squared -64 is the answer

how you get it is by multiplying 2x times 2x to get 4x squared and -8 times 8 =    -64

hope this helps

if this is algebra 1 then this is right

SOMEONE PLZZZ HELP ME THIS IS DUE IN LIKE 5 MINS (I WILL MARK BRAINLIEST)

Answers

Answer:

1) x = 8

2) ∠RPS = 36°

Step-by-step explanation:

GIVEN :-

∠QPS = 180°∠QPR = 7x + 88∠RPS = 3x + 12

TO FIND :-

Value of xMeasure of ∠RPS

FACTS TO KNOW BEFORE SOLVING :-

In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.

PROCEDURE :-

1)

Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.

⇒ ∠QPR & ∠RPS are linear pair.

⇒ ∠QPR + ∠RPS = 180°

⇒ 7x + 88 + 3x + 12 = 180°

⇒ 10x + 100 = 180

⇒ 10x = 180 - 100 = 80

x = 80/10 = 8

2)

x = 8. So,

∠RPS = 3×8 + 12 = 24 + 12 = 36°

What is the sum of the series?
5
Σ (3k)^2
k=1
Enter your answer in the box.

Answers

Answer:

495

Step-by-step explanation:

What is the range of the data

Answers

Answer:

56

Step-by-step explanation:

The range of a box and whisker graph is the difference of the furthest point to the right and furthest point to the left. 76-20 = 56

Answer:

The range is 56.

Step-by-step explanation:

The range is the greatest value subtracted by the smallest value.

76 - 20 = 56.

Also, It would be FRICKIN' FANTABULOUS if I could get brainliest!!!

How many fluid ounces are in 12 1/4 cups

Answers

Answer:

98 fluid ounces are in 12 ¼ cups

Answer:

The answers 98

Step-by-step explanation:

i took the quiz

HELP PLSSSS I WILL GIVE A BRAINLY AND 20 POINTS!!

Answers

Answer:

y=x-4 or f(x)=x-4

Step-by-step explanation:

therefore, x=1 ,y=-3; x=2, y=-2 ; etc

From the Equation:
(x-8)2 = 16(y+14)

Answers

Answer:

x=8y+120

Step-by-step explanation:

-
A summer camp has 492 campers who will be going on an outing. Estimate the number of vans needed to accommodate the entire camp if each van can comfortably
hold 12 passengers. Then calculate the actual number of vans that will be needed.

Answers

Answer: 41 vans will be needed.

Step-by-step explanation:

There are a total of 492 campers. We know that each van can hold a total of 12 passengers.

So, simply divide 492 by 12 to get the total amount of vans needed.

492/12 = 41 vans.

i need help lololololololololololololololol

Answers

Answer:

First Blank: 4*2 = 8

Second Blank: 6*2 = 12

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

Answer:

I have no clue my guess tbh 4 to 8 and 6 to 12

A truck driver drives at an average rate of 43 miles per hour.
At this rate, how many miles will he drive in 11 hours?

Answers

So it’s 43 times 11 which is 473

Answer: Hello: ) ✨473 miles

Step-by-step explanation:

43 mph for 11 hours = 43×11 = 473

A school guidance counselor is researching the number of high school students who have a part-time job. She emails a survey to 500 students that contains the question "Given that studies show that holding a part-time job helps with college admissions, do you have a part-time job or want a part-time job?” Select the type of bias most likely to affect the results of the survey.
Response bias
Nonresponse bias
Question wording bias
Undercoverage bias

Answers

Answer:

C is the answer (Question wording bias)

Step-by-step explanation:

I Just did this assignment on edge

Answer:

Question wording bias.

Step-by-step explanation:

I got it correct.

Solve for the value of v

Answers

Answer:

4v+3+5v+6=180(being linear pair)

9v+9=180

9v=180-9

v=171/9

v=19

Step-by-step explanation:

The sum of two consecutive odd integers
is 540. What are the integers?

Answers

Answer:

The integers are 269 and 271.

Step-by-step explanation:

Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:

Odd integer 1: X

Odd integer 2: X + 2

X + X + 2 = 540

2X + 2 = 540

2X = 540 - 2

X = 538/2

X = 269

Therefore, the integers are 269 and 271.

The lateral area of a cone is 558 pi cm^2. The radius is 18 cm. Find the slant height to the nearest tenth

Answers

Answer:

31.

Step-by-step explanation:

π(18)l = 558π

l = 558/18 = 31

Therefore the answer is 31.

Please help a picture of the problem is attached plz no trolls

Answers

3r+1w=5
5r+1w=80

System of equations :)

If A is a 2x2 matrix and B is a 2x1 matrix, what is the dimension of AB?

Answers

Answer:

2x2 matrix

Step-by-step explanation:

Given

Dimension of matrices A = 2x2 matrix

Dimension of matrices B = 2x1 matrix

The dimension of matrix AB can be gotten by cancelling the row of matrices 1 and column of matrices 2.

After cancelling both row and column, the remaining dimension will be 2x2 matrix. Hence the dimension of AB is 2x2 matrix

a. Show the sampling distribution of p, the proportion of groceries thrown out by your sample respondents.b. What is the probability that your survey will provide a sample proportion within 6.03 of the population proportion

Answers

Answer:

The corresponding p - value will be  is < 0.00001 which is less than 0.05

Step-by-step explanation:

Suppose p= 0.12 and n= 540 then the standard deviation can be taken out as √p(1-p)/n= √0.12(1-0.12)/540= 0.014

For the probability that the survey will provide a sample proportion within 6.03 of the population proportion

we will find the z statistic

z= p^-p/√p(1-p)/n

But √p(1-p)/n= 0.014 and p^-p= 6.03

Putting the values

z= 6.03/0.014= 430.71

The corresponding p - value will be  is < 0.00001 which is less than 0.05

the radius of a circle is 3 meters what is the circle's area

Answers

Step-by-step explanation:

the answer is 28.2m²

.....

..

....

Help!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Maybe try 1200?

Can someone help please?

Answers

Answer

for number 6 it should be 459

Step-by-step explanation:

Remember you always multiply the numbers for a easy way or method u can use LxWxH=V. Lengh x Width x Height=Volume

Im so sorry if its wrong

PLEASE HELP! PLEASE HELP! PLEASE HELP! QUICK

Answers

Answer:

for A plug in those numbers on the right and on the left start with 1 and move up(for example 1,2,3,4,5...)

For b  the answer is 2.5x²−4.5x+1.

Step-by-step explanation:

Evaulate 9÷3[(20-7) -2to the power of 2]

Answers

Answer:

27

Step-by-step explanation:

Evaulate 9÷3[(20-7) -2to the power of 2]

9÷3[(20-7) - 2²]

9 ÷ 3 = 3

[(20-7) - 2²] = (13 - 4) = 9

Hence ;

9÷3[(20-7) - 2²]

3(9)

= 27

DO THE ATTACHMENT PLEASE IT IS DUE IN LESS THAN 10 MINUTES, OR I GET A PHONE CALL HOME. I WILL GIVE BRAINLEST TO ANYONE WITH THE RIGHT ANSWER

Answers

Just pretend it’s a 3d right angle triangle and find the length of the hypotenuse.

d = sqrt(6^2 + 10^2 + 15^2) = 19

construction company has just constructed 150 new apartments. An external inspector is hired to do the final checking before they are given way to prospective customers. Inspector at random selects 8 apartments and and counts how many defects are in each one them. He finds 7,3, 2, 1, 2, 5, 4, 4 defects. What will be Upper Control Limit for a C chart

Answers

Answer:

Upper Control Limit for a c-chart = 9.1

Step-by-step explanation:

Given - construction company has just constructed 150 new apartments. An external inspector is hired to do the final checking before they are given way to prospective customers. Inspector at random selects 8 apartments and and counts how many defects are in each one them. He finds 7,3, 2, 1, 2, 5, 4, 4 defects.

To find -  What will be Upper Control Limit for a C chart ?

Proof -

Upper Control Limit for a c-chart =  c bar + 3(square root of c bar)

Now,

c bar = [tex]\frac{7+3+2+1+2+5+4+4}{8}[/tex] = 3.5

∴ we get

Upper Control Limit for a c-chart =  3.5 + 3(square root of 3.5)

                                                      = 3.5 + (1.87)

                                                      = 3.5 + 5.61

                                                      = 9.1

⇒Upper Control Limit for a c-chart = 9.1

Solve and reduce to lowest terms:
6 / 11 x 1 / 3

Answers

Answer:

2/11

Step-by-step explanation:

6/11 x 1/3 =

6/33 =

2/11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

2/11 as a fraction

0.18 as a decimal

Step-by-step explanation:

What is the slope of the line that passes through the points (-8, 12) and (4,6)?

Answers

Answer: -1/2

Step-by-step explanation:

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