A vector is used to express a car's change in position, or displacement, by tracking its motion over a large area defined by a coordinate grid. If the car begins at (−3,−5) and ends at (5,9), which of these expresses the car's displacement in vector form?

A
(14,8)

B
(10,12)

C
(8,14)

D
(2,4)

Answers

Answer 1

Answer:

The correct answer is option C: (8, 14).

Step-by-step explanation:

The car's displacement in vector form can be found by subtracting the initial points from the final points.    

Initial: (x₁, y₁) = (-3, -5)

Final: (x₂, y₂) = (5, 9)          

For the x-coordinate, we have:  

[tex] d_{x} = x_{2} - x_{1} = 5 - (-3) = 8 [/tex]

And for the y-coordinate, we have:

[tex] d_{y} = y_{2} - y_{1} = 9 - (-5) = 14 [/tex]

The car's displacement in vector form is:

[tex] d = (d_{x}, d_{y}) = (8, 14) [/tex]  

Therefore, the correct answer is option C: (8, 14).

I hope it helps you!                        


Related Questions

How to graph 5a-6b=18

Answers

Answer:

[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]

Step-by-step explanation:

Let's solve for a .

[tex]5a+6b=18[/tex]

Step 1: Add -6b to both sides.

[tex]5a+6b+−6b=18+−6b[/tex]

[tex]5a=−6b+18[/tex]

Step 2: Divide both sides by 5.

[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]

Let's solve for b.

[tex]5a+6b=18[/tex]

Step 1: Add -5a to both sides.

[tex]5a+6b+−5a=18+−5a[/tex]

[tex]6b=−5a+18[/tex]

Step 2: Divide both sides by 6.

[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....

Ross has a board that is 12 feet long. He needs to cut the board into equal pieces that are 1/2 feet long. How many pieces can she cutt

Answers

Answer:

13

Step-by-step explanation:

9514 1404 393

Answer:

  24

Step-by-step explanation:

Assuming that making the cut does not change the total length of the board, each foot can be divided into two pieces that are 1/2 foot. The number of pieces will be ...

  (12 ft)/(1/2 ft/piece) = (12×2) pieces = 24 pieces

Ross can make 24 pieces that are 1/2 ft long from her board.

if sin= 3/4 what are the values of cos 0 and tan 0

Answers

Answer:

Your choice is correct

Step-by-step explanation:

The first choice

Robyn can rent an unfurnished apartment for $850 per month. The landlord requires first and last months' rent, plus a security deposit of $350. How much will Robyn have to pay before she can rent this apartment?

Answers

Answer:

2,050 dollars is how much she will have to pay

Step-by-step explanation:

If something cost $60 and it has a markdown of 40% what is the sale price

Answers

Answer:

Your total is now $36

Step-by-step explanation:

Multiply 60 times 40%

and it will show that you saved $24

subtract $60 - $24

there's your answer.


[tex](w + \frac{4}{w} ) {}^{2} [/tex]

Answers

Answer:

W^2 + 8w/w + 16/x^2

Explanation:

The owner of a restaurant wants to collect data to find out the customers' opinions on the variety of appetizers offered on the menu. Which group should she survey to collect the best data? ANSWERRR QUCIKK A.
thirty customers who asked to share their opinions of the appetizers with the chef
B.
fifty randomly selected customers who dined at the restaurant
C.
sixty members of the local community
D.
the first fifty customers who dine at the restaurant without ordering an appetizer

Answers

Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.

What is sampling?

Sampling is collecting some items in a lot randomly to predict opinions about the lot.

For example; the Selection of goods, selection of people

Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.

As per the given,

To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.

The random selection gives the exact results.

Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".

To learn more about sampling,

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Plz help me well mark brainliest if correct.....?

Answers

Answer:

B. 8 x 12

Step-by-step explanation:

First of all, it has an area of 96

So lets find the multiplication pair that equals 96.

10 x 10 = 100        NO

6 x 16 = 96           YES

8 x 12 = 96           YES

Now we have two equations: 8 x 12 and 6 x 16

Perimeter of 40 means:

2(a+b) = 40

Lets input the two equations:

2(8+12) = 2 x 20 = 40

2(6+16) = 2 x 22 = 44

So the dimensions that works is 8 x 12

If my answer is incorrect, pls correct me!

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

-Chetan K

***Any links will be reported***
****i will mark brainliest****​

Answers

Answer:

hambuger cheesebuger big mac whooper

Step-by-step explanation:

Answer:

This is easy. Just to help you, and not necessarily cheat, it already tells you what the missing numbers are. So if a is 3, you can just go 2 x 3 x 3. when numbers are together like this, or letters, you multiply. (3(4), or 2a) You do that with the rest of your equations, and you will get your answers. But if this isn't what you having a problem with, then just tell me.

simplify the expression 9n+1/4+6y+4n-4y

Answers

Answer: =13n+2y+1/4

Step-by-step explanation: Hope this help :D

Let simplify step by step

9n+1/4+6y+4n-4y

=9n+1/4+6y+4n-4y

combine like terms:

=9n+1/4+6y+4n+-4y =(9n+4n) +(6y+-4y) +(1/4)

=13n+2y+1/4 Hope

Adam borrowed $16,780 at 12.5 percent for 10 years. What is his monthly payment?

A: $240.31
B: $245.83
C: $230.12
D: $229.81

Answers

ANSWER:

245.83

Step-by-step explanation:

16,780/100=167.8

167.8 x 1.465= 245.827

Using unitary method, Adam's monthly payment is 245.83 dollar.

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Monthly payment with 12.5% interest rate for 10 years per 100 dollar is 1.465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 1 dollar is 0.01465 dollar.

Monthly payment with 12.5% interest rate for 10 years per 16780 dollar is 1.465 * 16780 dollar = 245.83 dollar.

Learn more about unitary method here

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I need help plsss I will give u more points

Answers

Answer:

The value of 0.9* 10² is D.90.4*(12-8)+2³4*4+2³16+824

a.

False : it is to add 16+8

b.

False : its 8.

c.

True.

d.

False : its 24.

3.

side of cube [a]=2ft

volume of cube [V]=a³=2³=8ft³

He needs 1 bag to buy.As its volume is equal.

Question # 3: Two-sixths of the kids attending a tennis camp are left-
handed. There were 48 total kids attending the camp. How many kids are
left handed?

Answers

Answer:

52

Step-by-step explanation:

34-56/93

390 + 86(90x89)

DONT LISTEN TO THIS

Click on the graph below to create a triangle with vertices at the following points.
(-5,0), (-5,9), (0,9)

Answers

Well, since you didn’t upload the picture we can’t really show you the points, but all you do, is for the first one you go 5 up on the graph, and 0 to the side. and then just keep going!

Insurance company records indicate that 12% of all teenage drivers have been ticketed for speeding and 9% for going through a red light. If 4% have been ticketed for both, what is the probability that a teenage driver has been issued a ticket for speeding if they ran a red light?

Answers

Answer:

four out of 100 (4%)

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

The answer is C: Rectangular Prism

Step-by-step explanation:


4. For his garden, Clay has a mixture of 12
white corn seeds, 24 yellow corn seeds, and
16 bicolor corn seeds. If he reaches for a
seed without looking, what is the probability
that Clay will plant a bicolor corn seed first?

Answers

Answer:

I believe about 30.8%

sonya got 8 out of 10 questions right on a quiz.she got the same score on a quiz that had 20 questions. how many questions did sonya get right on the second quiz? how many questions did she get wrong on the second quiz?

MUST SHOW WORK

Answers

Answer:

Sonya got 16 questions correct.

Step-by-step explanation:

8/10=80%

80%×20=16

(To check)

16/20=80%

Solve using square roots: (x-6)^2=144

Answers

x^2-12x+36-144=0

x^2-12x-108=0

(x-18)(x+6)

X=18,-6

in 52469 6 is in the​

Answers

Answer:

6 is in the tenths place.

Step-by-step explanation:

Each digit is a number has a place, and we start counting from left to the right.

52469

9 is in the units place

6 is in the tenths place.

4 is in the cents place.

2 is the thousandths place.

5 is in the ten thousandths place.

The question asks 6, which is in the tenths place.

what is the estamate 1/4 of 16

Answers

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.

4 or 4/1 please give me a good rate

∫eˣ²dx find integral show all steps​

Answers

Answer:

[tex] \int \: e {}^{x {}^{2} } dx \\ y = {e}^{ {x}^{2} } \\ ln(y) = {x}^{2} \\ \frac{dy}{y} = 2xdx \\ dy/2x = {e}^{ {x}^{2} } dx \\ \int \: d( {e}^{ {x}^{2} } ) = \int {e}^{ {x}^{2} } .2xdx \\ \frac{{e}^{ {x}^{2} } }{2x} = \int \: {e}^{ {x}^{2} } dx \\ \int \: {e}^{ {x}^{2} } dx \: = \frac{1}{2x} {e}^{ {x}^{2} } + c[/tex]

What is the real number of ∞?

Answers

Answer:

Infinity is not a real number, its an idea.

Step-by-step explanation:

An idea of something without an end. Infinity cannot be measured. Even these faraway galaxies can't compete with infinity.

CAN SOMEONE TELL ME WHAT THIS IS PLEASE

Answers

Answer:

A = 533.8 square inches

Step-by-step explanation:

Use the surface area of a cylinder formula (A=2πrh+2πr^2)

Plug in 12 for h and 5 for r

Use 3.14 in replace for π

A = 2(3.14)(5)(12) + 2(3.14)(5)^2

A = 533.8 in^2

Step-by-step explanation:

55 square inches tall is the average cost of a house in the morning po everything is the same as

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

1. semicircle=14.1372mm

parallelogram=40 mm

54.1372 mm^2

2. 180 ft

hope this helps

have a good day :)

Step-by-step explanation:

What is shrinkage in Accounting?

Answers

9514 1404 393

Explanation:

Shrinkage is the loss of inventory from causes other than normal use or sales. It is the difference between the inventory on the books and the amount of inventory actually available for use. Typical causes of shrinkage are theft, damage, fraud, counting error, administrative error.

8. 3x + 5 > 16, x is an integer. Find
the smallest value of x.

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

Undo what is done to x.

  3x > 11 . . . . . subtract 5

  x > 11/3 = 3 2/3 . . . . divide by 3

The smallest value of x is 4.

Find five consecutive odd numbers where the sum of the first three numbers is 15 greater than the sum of the final two numbers.

Answers

Answer:

the consecutive numbers are: 23, 25, 27, 29, 31.

Step-by-step explanation:

23+25+27 is 75

29+31 is 60

75-60 is 15

Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail. Which equation can be used to find how many miles, m, Lexi has left to hike

Answers

Answer:

7.5 - 3.8 = m

Step-by-step explanation:

The equation can be used to determine the number of miles (m) Lexi has left to hike will be m + 3.8 = 7.5.

What is subtraction?

It simply implies subtracting something from an entity, group, location, etc. Subtracting from a collection or a list of ways is known as subtraction.

Lexi is hiking a trail that is 7.5 miles long. She stops to take a break after hiking 3.8 miles of the trail.

Then the equation can be used to determine the number of miles (m) Lexi has left to hike will be

Let m be the number of miles left. Then we have

m + 3.8 = 7.5

Subtract 3.8 on both sides, then we have

m = 3.7

More about the subtraction link is given below.

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Jared has some birds and dogs in his backyard. He counts a total of 12 heads and 30 legs. How many birds and dogs are in Jared's garden?

Answers

Answer:

12, because both dogs and birds only have 12 heads

12 Jared has 12 birds
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