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

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

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


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:

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.

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:

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

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:

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:

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]

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:

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

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.

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

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

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

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

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%.

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:

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

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

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

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

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

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

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

does anyone know how to do this​

Answers

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

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

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!

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

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:

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