Write the component form of the vector that translates P(4,5) to P'(-3,7)

Answers

Answer 1

Answer:

The component form of the vector is v = -7·i + 2·j

Step-by-step explanation:

The given parameters are;

The coordinates of the initial point = P(4, 5)

The coordinates of the point after the translation by the vector, v = P'(-3, 7)

Therefore, we have;

The horizontal component of the vector, vₓ = (-3) - 4 = -7

The vertical component of the vector, [tex]v_y[/tex] = 7 - 5 = 2

The magnitude of the translation, v = √([tex]v_y[/tex]² + vₓ²) = √((-7)² + 2²) = √53 ≈ 7.28

Therefore, the component form of the vector, v, is given as follows;

v = vₓ·i + [tex]v_y[/tex]·j

Substituting the known values of vₓ and [tex]v_y[/tex] gives;

v = -7·i + 2·j

The component form of the vector is v = -7·i + 2·j.


Related Questions

The population density of a certain region is 50 people per square kilometer. If the region covers 35 square​ kilometers, what is the population of the​ region?

Answers

Answer:

my dad can answer that wait a minute


Problems with Equations:
1
Select the correct answer from the drop-down menu.
The value from the set {10, 11, 12, 13} that makes the equation 2(x - 5) = 12 true is


Answers

Answer:

x = 11

The value "11" makes the equation true.

2 ( x - 5 ) = 12

2 ( 11 - 5 ) = 12

2 ( 6 ) = 12

12 = 12

Step-by-step explanation:

In the souvenir shop, Gary finds a shirt and a key chain he would like to buy. The shirt costs $13.75 and the key chain costs $2.33. What will be the total of Gary's souvenirs?

Answers

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

what is the slope of the line passing through the points (-3,4) and (2, -1)

Answers

Answer:

slople = -1

Step-by-step explanation:

(x₁ , y₁) = (-3, 4)     & (x₂ , y₂) = (2 , -1)

[tex]slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{-1-4}{2-[-3]}\\\\\\=\frac{-1-4}{2+3}\\\\\\=\frac{-5}{5}\\\\= -1[/tex]

Someone please answer the questions and help me:(

Answers

Answer:

-3,-5,-4,-1,1-1,1-1,,3,3-,-3,-4,5-,-8,9--,5,3

Step-by-step explanation:

A) insiders lie so (4,3) A.O.S x= 4

B) (-2,-5) AOS X= -2

C) (3,0) AOS x= 3

F) (0,2) AOS x= 0

5/3 - 1/6 and i need it now because im in school now

Answers

Answer:

9/6 or 1 1/2

Step-by-step explanation:

Make the denominators the same...

5 x2     ----> 10/6 -------> 10/6 -1/6 = 9/6

3 x2

1.5 or 1 1/2 would be the answer

HELP PLS BRAINLIEST FOR CORRECT ANSWER

Answers

Answer:

83

Step-by-step explanation:

Answer:

x = 59

y = 83

Step-by-step explanation:

First, you need to solve for y in order to solve for x. Using the Triangle Sum Theorem, you will find that y is 83 degrees.

Now, using the Vertical Angles Theorem, you can figure out the third angle of the triangle in which x is, 83.

Using the Triangle Sum Theorem again, you will find that x is 59.

help i times the expoint but it was wrong is it 4 ^16?

Answers

Answer:

4

Step-by-step explanation:

256/4^3

256/64

4

Multiply.
7.8 x 100
7.83 x 10,000

Answers

7.8 x 100 = 780
7.83 x 10,000 = 78,300

Answer:

7.8x100= 780

7.83 x 10,000 = 78300

Step-by-step explanation:

find the ordered pair for the solution -7x+3y=2

Answers

Answer:

(1, 3 )

Step-by-step explanation:

To find a solution choose a value for x, substitute into the equation and solve for y.

let x = 1 , then

- 7(1) + 3y = 2 , that is

- 7 + 3y = 2 ( add 7 to both sides )

3y = 9 ( divide both sides by 3 )

y = 3

One possible solution is therefore (1, 3 )

Answer:

Step-by-step explanation:

1 3

Amber needs to rent a car for one day while she is on vacation in Pittsburgh. It
cost $7.50 per hour to rent the car as well as a $35 rental fee. Which equation
matches the situation above? *
O y = 7.50x
O y = 35x +7.50
O y = 7.50x + 35
O y = 35x
PLEASE HELP ASAP

Answers

Answer:  

3 i think :0

Step-by-step explanation:

Answer:

y=7.50x+35

Step-by-step explanation:

This one is the correct answer. If you are having trouble, I highly recommend you look closely at the question. $7.50 per hour- per hour is the keyword. That means that you put the x next to $7.50. 35 is one charge, and it is not continuing so you leave it as 35.

Solve for the missing angle measures

Answers

Answer:

Set 1 angles a and c are 62

Set 2 angles b and d are 120

Step-by-step explanation:

angle a = angle c = 62

angle b = angle d = 120

50 POINTS! + Brainliest Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?/


Carrots cost $1.50 a pound, which is less than potatoes cost.


Carrots cost $1.75 a pound, which is more than potatoes cost.


Carrots cost $1.75 a pound, which is less than potatoes cost.


Carrots cost $1.50 a pound, which is more than potatoes cost.

Answers

Answer:

Carrots cost $ 1.75 a pound which is more than potatoes cost.

Step-by-step explanation:

True or false, there is a decimal point on every whole number. We just don’t usually write it.

Help LOL I have a quiz I would appreciate it

Answers

Answer:

True

Step-by-step explanation:

for example: 5 could also be written as 5.00

Answer:

I think that’s false it should be

Step-by-step explanation:

If not don’t report me plz

One number is nine more than another number.if the sum of the number is 65 ,find both numbers

Answers

Answer:

The first number is 28 the number nine more is 37

Hope this helped!

How do you change 2.3 - 3.94 into an addition problem?

Answers

Answer:

2.3+ (-3.94)

Step-by-step explanation:

Answer:

Solve it then add the answer and one of the parts of the original.

Step-by-step explanation:

Ex.

Original: 2.3 - 3.94

2.3 - 3.94 = -1.64

New addition: -1.64 + 3.94 = 2.3

can sumone do this plzz

Answers

Answer:

1. [tex]\frac{x}{15}[/tex] = 0.85

2. x = 12.75

Step-by-step explanation:

First, we do 12 divided by 15, which is 0.80 (80%). The question is asking how much consecutive free throws is needed to raise it to 85%.

So, and equation we make is:

[tex]\frac{x}{15}[/tex] = 0.85, where x represents the number of free throws.

Now, we solve.

Multiply each side by 15 to solve for x.

x = 12.75

12.75 consecutive free throws is needed to raise the percent to 85%.

The arrow below was painted in a school parking lot.




What is the area of the arrow?

Answers

Answer:

16

Step-by-step explanation:

12+4=16

x+9;x=6

find the value of why for the given value of x

Answers

Answer:

-5

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

x+9=6 when x=6

6+9=15

15=15

True or false dilation increases the measure of angles

Answers

Answer:

It is false. Dilatation does not increase the measure of angles.

Step-by-step explanation:

does anyone know how to do this​

Answers

The answer is 19 light blue, please Give like and brainliest

What are the x- and y-intercepts of the graph of y = x2 + x - 6? (1 point)
O x-intercepts: (3, 0) and (2,0)
y-intercept: (0,6)
O x-intercepts: (3.0) and (-2,0)
y-intercept: (
0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0-6)
x-intercepts: (-3,0) and (2.0)
y-intercept: (0.6)

Answers

Answer:

okay i will answer but i dont see the question

Step-by-step explanation:

PLEASE HELP!!!
What is the solution to the given inequality?
1-4x2-1
*x>-1
O xs-1
O x23
Oxs 3

Answers

people cant read that

mx - y = 7
How do I solve for x

Answers

Explanation and Awnser:

y=mx−7

Swap sides so that all variable terms are on the left hand side.

mx−7=y

Add 7 to both sides.

mx=y+7

Divide both sides by m.

m

mx

=

m

y+7

Dividing by m undoes the multiplication by m.

x=

m

y+7

At the end of the season, 4 basketball teams in a league are having a pizza party at a restaurant. Team Number of People Sharks 17 Wolves 21 Tigers 20 Hawks 17 Coaches 9 The restaurant manager suggests that they order one pizza for every 6 people. How many pizzas should they order? Enter your answer in the box. its confuzing

Answers

Answer: They should order 14 pizzas.

Step-by-step explanation:

Given table :

Team   Number of People

Sharks     17

Wolves    21

Tigers      20

Hawks      17

Coaches    9

Total   = 84

They order one pizza for every 6 people.

Total pizzas required =  (Total people) ÷ 6

= 84÷ 6

= 14

Hence, They should order 14 pizzas.

Answer: 14 because if u add them all together and divide it by 6, u get 14

Step-by-step explanation:

There are 4 teams and there are the coaches who are with the teams, so you combine them all

A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4.9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0.25 meters t subscript 1 (seconds) have entries in the third column 2.24, 2.21, 2.23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0.5 meters t subscript 2 (seconds) have entries in the fifth column 3.16, 3.08, 3.15 and in the sixth column average.
The average time that it takes for the car to travel the first 0.25m is
s.

The average time to travel just between 0.25 m and 0.50 m is
s.

Given the time taken to travel the second 0.25 m section, the velocity would be
m/s.

Answers

Answer:

2.23

.90

.28

Step-by-step explanation:

Answer: your answer are 2.23, .90, .28

Step-by-step explanation:

your answer are 2.23, .90, .28

Food bill before tax $45 sales tax 6.8% tip 24%

Answers

Answer:

The total bill is $58.86

Step-by-step explanation:

Percentages

Before tax, the food bill is $45. Sales tax is 6.8% and the tip is 24%.

Tax is 6.8*$45/100 = $3.06

Tip is 24*$45/100 = $10.80

Total additional charges are:

$3.06+ $10.80= $13.86

Thus, the total bill for the food is:

$45 + $13.86 = $58.86

The total bill is $58.86

Three numbers form a GP. If the first and
third numbers are 5 and 245 respectively, find
wo possible values for the middle number.​

Answers

Answer:

I don't get it like you messed up on it

Step-by-step explanation:

Student council is voting which elective classes should be offered at the middle school. the choices are Band, Art, and Spanish. Art received twice as many votes as Band. Spanish received 20 more votes than Art. 190 students voted total.

Answers

Question what are we supposed to do like add subtract??

Answer:

34 people voted for band 68 people voted for art and 88 people voted for Spanish this help

Step-by-step explanation:

i need help w this pls asap

Answers

Answer:

x=125, y=125

Step-by-step explanation:

180-55=125

x and y are alternate angles

Answer:

x=125

y= 125

Step-by-step explanation:

x + 55 = 180

y = x

alternate interior angles are equal

Other Questions
what does 3x + 23 = 10x - 12 equal What is the answer for both? Express 40 cm as a percentage of 2.5m How are college costs different based on the type and location of the school you choose as well asyour room and board arrangement? 3) Theodore took a test with 200 questions on it and answered 165 of them correctly. What percentage of questions did Theodore get right? Why are the natural resources conservation necessary? combine this sentence properly: I would love to learn how to bake delicious cakes. I dont really have the time to learn. HELP PLEASE!!The kinetic energy of a car can be described by the function KE = 12 mv2, in which the constant m is the mass of the car and v is the cars velocity. If the velocity keeps increasing, the kinetic energy will A remain constant B continually increase C increase and then become constant D decrease to zero One of the primary principles of the Rapid Application Development methodology is early prototyping of the _______ in the development cycle CAN ANYONE PLZ ANSWER MY LAST QUESTION?????????!!!!!!!!!!!!!!!! Write a polynomial function of least degree in standard form that has the given zeros: -1, 2, 31,2,3 3. Colloids are used in food preparations like in bakingpastries and cakes.yes or no The acronym used when referring to the Big Five Factors is OCEAN. True False Indica el sujeto, predicado verbo en la oracin. Todos esos molinos parecen gigante Todos esos molinos parecen gigante Saber vs Conocer?Any one done this? Can someone help me? Helppp pls ASAP plsss help A particular triplet of bases in the template strand of a coding sequence of DNA is AAA. The anticodon on the tRNA that binds the corresponding mRNA codon is Starting at 1:00 pm, the temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours x it will take to reach -1 F. PLEASE HELP ASAP!!! What standards can local and national governments establish to improve the environment? Check all that apply.building codeslaws for recyclingauto-efficiency standardstax credits for toxic dumpingtax deductions for high energy usagetax credits for alternative sources of energy