Let the vector \mathbf{v}v have an initial point at (1, -2)(1,−2) and a terminal point at (0, 0)(0,0). Plot the vector \mathbf{v}v and afterwards follow the guided steps to analyze the vector.

Answers

Answer 1

Given that the initial point of the vector is (1,-2) and the termination point of the vector is (0,0).

So, the tail of the vector is at point (1,-2) and the head of the vector is at (0,0). The vector, [tex]\vec{v}[/tex], has been shown in the figure.

The magnitude of the vector:

[tex]|\vec{v}|=\sqrt{(1-0)^2+(-2-0)^2}=\sqrt{1+4}=\sqrt{5}[/tex]

The direction of a vector is the angle made by a vector with the positive direction of the x-axis.

From the figure, [tex]\theta = 180 \degree\tan ^{-1} \left|\frac {0-(-2)}{0-1}\right|[/tex]

[tex]\theta = 180 ^{\circ} - \tan^{-1}(2) = 180 ^{\circ} - 63.43^{\circ}[/tex]

[tex]\theta =116.57 ^{\circ}[/tex]

Hence, the required vector having a magnitude [tex]\sqrt {5}[/tex] and direction [tex]116.57 ^{\circ}[/tex] has been shown in the figure.

Let The Vector \mathbf{v}v Have An Initial Point At (1, -2)(1,2) And A Terminal Point At (0, 0)(0,0).

Related Questions

track team ran 8 in one day? miles (mi) in 5 days. If they ran the same distance each day, how far did they run?

Answers

Answer:

d = 1.75 miles

Step-by-step explanation:

A track team ran 8 and 3/4 miles in 5 days.

We need to find the distance covered by it each day. Let the distance is d.

[tex]8\dfrac{3}{4}[/tex] miles in 5 days

or

[tex]\dfrac{35}{4}[/tex] miles in 5 days.

[tex]1\ day=\dfrac{\dfrac{35}{4}}{5}\\\\=1.75\ \text{miles}[/tex]

So, each day the team will cover 1.75 miles.

find the midpoint and distance between each pair of points, with easy explanation and work !! will give brainliest.



(-1,-4) , (-7,4)

Answers

If we have 2 coordinates say: (x1,y1) and (x2,y2)

Then the formula for the midpoint is:

((x1+x2)/2,(y1+y2)/2)

And the formula for the distance is:

Sqrt((x2-x1)^2+(y2-y1)^2)

So here we have (-1,-4) and (-7,4)

The midpoint is:

((-1+-7)/2,(-4+4)/2) = (-8/2,0/2) = (-4,0)

The distance is:

Sqrt((-7- -1)^2+(4- -4)^2)
= sqrt((-6^2)+(8^2))
=sqrt(36+64)
=sqrt(100)
=10

Question 1 (Multiple Choice Worth 5 points)
(04.01) Which unit rate is equivalent to 17 miles per gallon?
3 gallons
51 miles
51 miles
3 gallons
34 miles
4 gallons
4 gallons
34 miles

Answers

Answer:

B?

Step-by-step explanation:

What is the multiple choice here? I can only assume that it meant 51 miles/ 3 gallons but I can't be certain.

Clifford works 40 hours per week while working as a laboratory technician. He earns $453.60 for each week of work.

How much money does he earn in 1 hour?

How much money does he earn in 10 hours?

Answers

Answer:

he makes $11.34 and hour and $113.40 in 10 hours

Step-by-step explanation:

you divide 453.6 by 40 to get the 1 hour part and then divide it by 4 to get the 10 hour part

The amount of money that he earns in one hour and in 10 hours will be $11.34 and $113.4, respectively.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Clifford works 40 hours per week while working as a laboratory technician. He earns $453.60 for each week of work.

The amount of money that he earns in each hour is given as,

Rate = $453.60 / 40

Rate = $11.34 per hour

The amount of money that he earns in 10 hours is given as,

⇒ $11.34 x 10

⇒ $113.4

More about the rate link is given below.

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IM BEGGING YOU PLEASE HELP I WILL GIVE BRAINLIEST!!!!
Which proportion could be used to solve for the length of the pond?

Answers

Answer: The second answer.

Step-by-step explanation:

Help please!!
Which of the following triplets are possible lengths of line segments that could form a triangle with its vertices at their endpoints? Select the two correct answers

A. 5, 5, and 5

B. 7, 7, and 4

C. 6, 6, and 12

D. 8, 1, and 3

E. 3, 4, and 8

Answers

Answer:

A and B

Step-by-step explanation:

A triangle is a triangle if the sidelengths, a, b, c, in increasing order, satisfy the condition that a+b > c

only A and B satisfy that condition

f(x)=x^3+9x^2+23x + 15

Answers

This is what I got hope it helps!

What is the y-intercept of y = –3x + 6?
A. –6
B. –3
C. 3
D. 6

Answers

Answer:

6

Step-by-step explanation:

you can identify by it not having the x or any other variable!

Use combining like terms to solve the multi-step equations, find your answers in the legend below: *
i beg of you please answer this i really need help

Answers

rtwrygfijbhiueysgfuuwyguwei

1) x=10

2)x=8

3)x=9

Those are the answers for each equation

there’s a pic.

The area of this rectangle is 8cm2
(3x + 1) cm
(2x + 5) cm
Work out the value of x

Answers

Answer:

The value of  [tex]x = \frac{1}{6}[/tex]

The length of the rectangle   [tex]= \frac{3}{2}[/tex] cm

The width of the rectangle  = [tex]\frac{16}{3}[/tex] cm

Step-by-step explanation:

Step(i):-

Given that area of the rectangle = 8 cm²

Length of the rectangle (l) = 3x+1

width of the rectangle (w) = 2x+5

The area of the rectangle = length × width

Given that area of the rectangle = 8 cm²

Step(ii):-

Now

                   (3x+1) ( 2x+5)    = 8

       ⇒      3x(2x+5) +1(2x+5) =8

                    6 x² + 15x + 2x +5 =8

         ⇒     6 x² + 17x -3 =0

        ⇒      6 x² + 18x -x -3 =0

       ⇒   6 x ( x+3) -1(x+3) =0

       ⇒   6x -1 =0  and  x +3 =0

              [tex]6x = 1[/tex]  and   x =-3

             [tex]x = \frac{1}{6}[/tex]

The length of the rectangle

                               [tex]= 3 (\frac{1}{6} ) +1 \\= \frac{3}{2}[/tex]

The width of the rectangle

                            [tex]= 2 (\frac{1}{6} ) +5[/tex]

                            = [tex]\frac{16}{3}[/tex]

                                 

Which of the graphs below represents the solution set for d - 4 > -3?

Answers

Answer: C

Step-by-step explanation:

Can anyone solve this question for me?
Tommorrow is my test I really need to get goingI need some help? ​

Answers

Answer:

m = 2, c = -8.

Step-by-step explanation:

The general form of a straight line equation is

y = mx + c    where m = the slope and c is the y-intercept.

We are given the line

y = 2x + 4

Comparing this with the general form we see that the slope of this line  = 2 and the y-intercept C is 4.

Now the given line y = mx + c is parallel to y = 2x + 4 which means that their slopes are the same so we conclude that m = 2.

Now we need to find the value of c which is the y intercept of y = mx + c.

Consider the points A and B:

A is the point where the line y = 2x + 4 intersects the x axis so y = 0 at this point , So substituting in the equation:

0 = 2x + 4

-4 = 2x

x = -2.

So the point A is (-2, 0)

B  is the point where y = 2x + c cuts the x axis so here y = 0:

0 = 2x + c

2x = -c

x = -c/2.

Now we are given that the 2 intercepts are 6 units apart, so:

-c/2 - (-2) = 6

-c/2 + 2 = 6

-c/2 = 4

-c = 8

c = -8.

Solving systems by
substitution: The "Blob" method
Finish solving the system. The first steps are
done for you. Write the answer in the form:
(x,y)-
2x + 3y = 7
y = 2x - 3
Steps:
2x + 3(2x - 3) = 7
2x + 6x – 9 = 7

Answers

Answer:

(2, 1)

Step-by-step explanation:

8x - 9 = 7

8x = 16

x = 2

y = 2(2) - 3

y = 4 - 3

y = 1

Evaluate-9-(-6)=3. Need help on question

Answers

Here you go, hope this helps!

i will give brainiest to whoever answers this first and correct
a football squad of 24 players has three times as many right footed players as many left footed players write down the ratio of right footed players to left

Answers

Answer:

18 right foot players: 6 left foot players

Step-by-step explanation:

Let's write an equation

we do 3x+x=24

4x=24

x=6

Let me know if you have any questions

Byron and Cari are best friends. Byron wants to give a collage photo frame to Cari on her birthday. He measures the photo frame at 12 inches by 18 inches. He wants to cover the photo frame with a golden cloth at a cost of $7 per square inch. How much will it cost for Byron to cover his photo frame?

Answers

Answer:

The answer is $1512.

Step-by-step explanation:

First, multiply 12 by 18, you get 216. Then multiply that by 7, you get 1512. Bryon will need $1512 to cover his photo frame.

can someone please help me asap?

Answers

find the area the get the premiraterStep-by-step explanation:add

Look at the angle. Which description is true?
It's less than 90°
It's equal to 90°
It's greater than 90°. HELP ASAP

Answers

Answer:

Less than 90 degrees

Step-by-step explanation:If it were equal to 90 degrees it could make a perfect square as the angle and if its more it would be open wide i guess im a bad explainer sorry

Hence , Option B is correct. It is less than 90 degrees.

What is an Angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

How To Solve:

Observe the given figure.  A perfect Right Angle is in the  shape  "L"(or opposite/mirror L also). One can measure or construct it using a protractor.

If the L seems to be bent inwards , then its an acute angle and if the L is bent outwards, then it is an obtuse angle.  

From the given figure it can be concluded that the angle formed is an acute angle and hence its is less than 90 degrees.

Learn more about Angles at:

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If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Take π = 22 /7 )​

Answers

wat great is this this is so hard i traid

Given that u = 2.89 and v = 5.7, find the value of G when:
a G = 5u + 2y

Answers

Answer:

28.85

Step-by-step explanation:

Plug the values in and solve.

G = 5u + 2y

G = 5(2.89) + 2(5.7)

G = 14.45 + 11.4

G = 25.85

Which expression is equivalent to ^3 square root x^10

Answers

Answer:

D. 3√x^9 • x

Step-by-step explanation:

3√x^10

A. 3√3x³ + x

B. 3√3x³ * x

= 3√3x^4

C. 3√x³ + x³ + x³ + x

= 3√3x³ + x

D. 3√x^9 • x

= 3√x^(9 + 1)

= 3√x^10

The equivalent expression to 3√x^10 is 3√x^9 • x

Answer:

D

Step-by-step explanation:

The second part is C x^3 3 square root x

The third part is a = -8 b= -2

If mn = 16 and m2 + n2 = 68. then
(m + n) 2 equals​

Answers

Answer:

So, the value of mn is 72.

Step-by-step explanation:

Given, m−n=16 and m  

2

+n  

2

=400

We know that, (m−n)  

2

=m  

2

+n  

2

−2mn   ... (i)

By putting the given values in equation (i),

(16)  

2

=400−2mn

256=400—2mn

256−400=−2mn

—144=−2mn

72=mn

So, the value of mn is 72.

Will give brainliest please help!!

Which expression is equivalent to 5.5x + 1-(1,5x+17)?​

Answers

Answer:

4x - 16

Step-by-step explanation:

X can be any value (I made it 20)

5.5(2)+ 1 - (1.5(2) +17)

11 + 1 - 20

12 -20

-8

4(2) - 16

8 - 16

-8

You better say thanks (from a grade 9 academic student)

Answer:

4x-16

Step-by-step explanation:

5.5x + 1-(1,5x+17)?

When there's a - in front of an expression in parenthesis, cvhangethe sign of each term in the expression.

5.5+1-1.5x-17

Like terms

4x + 1-17

Then boom 4x-16

What is 40% of 240? 20 points

Answers

Answer:

40% of 240 = 96

Step-by-step explanation:

x = 240 × 40/100

x = 96

Hey there!

[tex]\bold{of = multiply}\\\bold{40\% \ of\ 240}\\ \\ \bold{40\% = \dfrac{4}{100}=\dfrac{2}{5}}\\ \\ \bold{\dfrac{2}{5}\times240=\underline{96}}\\\\\\\boxed{\boxed{\bold{Answer: \bold{\underline{96}}}}}\checkmark[/tex]

Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

please help this is due today

Answers

Answer:

5: A

6:C

7: No solution, the lines are parallel

8 part 1: A

8 part 2: D

and then I can't really read the rest of 9 but can tell you that B is true

Step-by-step explanation:

I'll assume that you need help with all of it and I don't know what the elimination method is so I just used desmos if you need me to explain it leave a comment

A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time

Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by

300

T(W) =

530-W


I need help with the bottom part. What does t(110) mean I’m this situation etc.

Answers

Answer:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

Step-by-step explanation:

Given

[tex]w = headwind[/tex]

[tex]T = time[/tex]

Model:

[tex]T(w) = \frac{300}{530 - W}[/tex] -- This was not properly presented in your question

Required

What does T(110) means

First, we calculate T(110):

Substitute 110 for w in [tex]T(w) = \frac{300}{530 - W}[/tex]

The expression becomes

[tex]T(110) = \frac{300}{530 - 110}[/tex]

[tex]T(110) = \frac{300}{420}[/tex]

[tex]T(110) = 0.714[/tex] -- approximated

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

In order to compare functions we need to identify the
and the _______ and the _______

1) x and y

2)slope and y-intercept

3) domain and range

Answers

x and y because they are the numerator and denominator

Need help ASAP!! I'll give brainliest to correct answer!!!

A.) 45.3 m
B.) 17.0 m
C.) 27.7 m
D.) 34.0 m

Answers

Step-by-step explanation:

so...the answer is C.27.7m

Answer:

27.7

................

The age and hourly pay of five employees in a store are shown in the table
age Hourly pay
16 10
18 10.25
18 12.50
20 14
22 15
A line of best fit for the data is y = 0.9x – 4.5, where x represents age, in year

Answers

Answer:

18$

Step-by-step explanation:

0.9*25-4.5= 18

Answer:

18

Step-by-step explanation:

I did the maps test

convert the following numiracal into Q basic expression :

³√(a+b)+a²

Answers

Answer:

(a+b)1/3+a^2

Step-by-step explanation:

Hope it helps!

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