What is the magnitude and direction of the PQ with tail and head points P(-6, 0) and Q(2, 4)?
8.9 units, 63.4° north of east
8.9 units, 26.6° north of east
13.4 units, 180° west
13.4 units, 0° east

Answers

Answer 1

Answer:

What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.

hope this helps

Answer 2

The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.

What is a vector?

A vector is a quantity in which direction and magnitude both matters called a vector.

A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]

The magnitude of this vector will be  

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]  

The direction of this vector will be  

[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]

Given P(-6,0) and Q(2,4) so vector joining by

[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex]  + [4-0][tex]\vec{j}[/tex]

[tex]\vec{PQ}[/tex] =  8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]

now, the magnitude  [tex]\vec{PQ}[/tex] will be

⇒  [tex]\sqrt{(8^2+4^2)}[/tex]

8.944

The direction of the vector [tex]\vec{PQ}[/tex] will be

 [tex]\tan^{-1}(\frac{4}{8})[/tex]

26.57°

So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.

 

For more information about vector

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Related Questions

I will give a brainliest to the person who has gets the correct answer with an explanation of how you solved it.
I need answer ASAP!

Answers

Answer: [tex]V = 24,416.64m^{3}[/tex]

Step-by-step explanation:

Solve for v  by simplifying both sides of the equation, then isolating the variable.

Formula: [tex]v = \frac{4}{3} \pi r^{3}[/tex]

Plugin the variable: [tex]v = \frac{3}{4}\pi (18^{3})[/tex]

Solve:

[tex]v = \frac{4}{3} 3.14 (5,832)[/tex]

[tex]v = 4.18666666(5,832)[/tex]

[tex]V = 24,416.64m^{3}[/tex]

Hi guys please explain I don’t really get it thanks if you help

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The independent variable is hours
The dependent variable is cookies

What's 3/5 of 1/4?!!!!! Plz help me!

Answers

Answer:

2.4 or  [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

In the divisor (the second fraction) we flip the numerator and the denominator. This is known as the reciprocal and basically it means the reverse of the fraction. When we find the reciprocal, we also have to change the division sign to a multiplication sign.

Once you've flipped the second fraction and changed the symbol from divide to multiply, we can multiply the numerators together and the denominators together and we have our solution:

[tex]\frac{12}{5}[/tex]

WIll MARK BRAINLIST IF YALL DO FAKE ANSWER YALL WILL BE REPORTED!!!!!!!!!!!!!!!!!

Answers

Answer:

f(7)=-196

Step-by-step explanation:

f(7)=-3(7)^2-7(7)

f(7)=-3(49) -49

f(7)= -147 -49

f(7)=-196: ANSWER

Hope this helps! This is also written in the comment too!

need help with this please

Answers

Answer:

where is your question friend...

Given m||n, find the value of x. (4x-9)° (3x+29)°​

Answers

Answer:

38°

Step-by-step explanation:

4x-9=3x+29 ------- because corresponding angles are equal

x=38°

the area of a rectangular lawn is 255 metre square if its length is 15 M find its perimeter​

Answers

Answer:

Step-by-step explanation:

width is 255/15=17

perimeter = 17*2+15*2=64

EZ

Help me and i will give away 50 points

Answers

the largest square with a side angle is 144inches

Answer:

Step-by-step explanation:

whats a reasonable estimate for 529 divided by 23 ( explain your anwser )

Answers

Step-by-step explanation:

First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.

Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.

Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.

Gavin took a taxi home from the airport. The taxi fare was $7 plus an additional $0.65 per mile.
Gavin gives the driver a $3 tip when he arrives home. If Gavin paid a total of $62.65 with the tip,
what is the distance between the airport and Gavin's house?

Answers

Answer:

81

Step-by-step explanation:

$62.65-$7-$3=$52.65

Distance->52.65÷0.65=81

81 miles, he paid 7$ and 3$ for a total of 10$ not including the expense per miles, so you would subtract 10$ off of 62.65$ to get 52.65$ for how much he paid for the distance, and then divide 52.65$ by 0.65$ to get 81 miles

How can you tell that (448 + 217 + 34) × 9 is three times as large as (448 + 217 + 34) × 3 without doing complicated calculations?

Answers

I can tell that (448+217+34) x9 is 3 times larger than (448+217+34) x3 because the number inside the equations are being multiplied by 9 which is 3 times bigger than 3 ( the number being multiplied in the 2nd one)(3x3)

The value of (100%10)*5 is
0
10
50
500​

Answers

Answer:

50

Step-by-step explanation:

the step

100% * 10 =10 as 100% = 1

then mulitply 10 *5 = 50

At the end of summer sale, an air conditioner that sold for $310 was discounted for 21%. What was the sale price?

Answers

Answer:

The sale price was $244.9.

Step-by-step explanation:

With the information provided, you can calculate the sale price by finding the 21% of the sale price and then, subtracting that amount from the sale price:

$310*21%=$65.1

$310-$65.1=$244.9

According to this, the answer is that the sale price was $244.9.

HELP ME ASAP!!!!!!!!!!!!!!!

See question attached.

THE CORRECT ANSWER GETS THANKS, A STAR RATING OF EXCELLENT AND BRAINLIEST!!!!!!!!!!!!!!!!! GOOD LUCK!!!!!!!!!!

Answers

Answer:

-1

Step-by-step explanation:

First input = 4

Then we subtract 7 = 4 - 7 = -3

After that we divide 3 = - 3 ÷ 3 = -1

Hence, the output is -1 (Ans)

pls help with this question

Answers

Answer: first answer choice

Step-by-step explanation:


Divide.
1.6 23.2
I need help I’m gonna cry.

Answers

Answer:

use a calculator

Step-by-step explanation:

its not that hard

The answer to your math question is 2/9

Convert them to fractions

Then divide the fractions by their reciprocal

Reduce them with their gcf which is 5

The. You would get the product of 2/29

Mr. Nguyen drove 34.8 miles in June, 357.09 miles in july and 468.4 miles August.
How many miles did Mr. Nguyen drive during the three month period?​

Answers

Answer:

860.29 miles

Step-by-step explanation:

just add up the miles he drove in June, July, and August, and you'll get 860.29 miles

Find the missing side of this right
triangle.
10
Х
15
x= [?]
Enter the number that belongs in the green box.
Enter

Answers

Answer:

Step-by-step explanation:

A^2+B^C^2 ////////A^2=10, and B^2=X^2, and C^2=15

10^2 + X^2 =15^2

100 + X^2 = 225(15^2 = 225)

-100 -100

= square root x= square root (125)

your answer will be 125

The value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

What is Pythagoras theorem?

Pythagoras theorem says that in a right angle triangle the square of hypotenuse side is equal to the sum of the square of other two legs of right angle triangle.

In the given image,

A right angle triangle is given.The length of the base is 15 units long.The length of the hypotenuse is 15 units long.

Using the Pythagoras theorem, the value of x can be found out as,

[tex]x^2+10^2=15^2\\x^2=15^2-10^2\\x^2=225-100\\x^2=125\\x=\sqrt{125}\\x=11.18[/tex]

Thus, the value of the missing side of this right triangle is 11.18 units and the number that belongs in the green box is 125.

Learn more about the Pythagoras theorem here;

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ill give brainliest!! just please help!!

Answers

Answer:

x=4

Other stuff:

Don't  if it is incorrect or if it was the answer. the image was blurry.

Help me please!
I don’t get this question

Answers

Supplementary angles are angles that when you add them, make 180 degrees, which is a straight line. They are not to be joined together but added. So if one measures 90 degrees more than another, well what's the answer? I hope this helps.

Which expression will give you the phase shift when the standard form is f(x)=asin(bx+c)+d
A. |a|
B. 2⁄|b|
C. -c/b
D. d

Answers

Answer:

1. A and C

2. C

3. B and E

4. B and C

Step-by-step explanation:

I just took the test 100%

(Geometry)
If you were in a hot air balloon 500 m over Lady Bird Lake, at what angle of depression would you look at a point on the ground 800 m
horizontally from the balloon?
ROUND TO THE NEAREST WHOLE DEGREE

Answers

Answer:

Set up trig ratio using tangent.

Tan theta = opp/adj

Tan theta = 500/800

Tan^-1 (500/800) = 32 degrees

2/5 times 6 enter the product in simplest form.

Answers

Answer:

2 2/5

Step-by-step explanation:

2/5 x 6 = 12/5 = 2 2/5

Hope that helps!

The green triangle is a dilation of the red triangle with a scale factor of s=13 and the center of dilation is at the point (4,2)

What are the coordinates of Point C'? C'(___,____)

What are the coordinates of Point A? A(____,_____)

Answers

Answers:

C ' (2, 5)A (16, 8)

================================================================

Explanation:

I'm assuming you mean to say "scale factor of s = 1/3" since the green triangle is smaller than the red triangle.

Let's start at the point (4,2). This is the center of dilation. This fixed point does not move or change as you apply any dilation (as long as you keep this as the center of course). Every other point will move. For instance, the point (10,14) moves to (6,6) after applying the dilation.

----------------------

The x coordinate of the center point (4,2) is x = 4.

The x coordinate of the point (10,14) is x = 10.

Going from (4,2) to (10,14) will have us move a horizontal distance of 10-4 = 6 units.

Take 1/3 of this horizontal distance and we get (1/3)*6 = 2. This means that if we started at the center point (4,2) and move 2 units to the right, we will have the x coordinate to be x = 4+2 = 6, which matches up with the x coordinate of the point (6,6)

-------------------------

We'll do the same sort of thing with the y coordinates

The point (4,2) has the y coordinate y = 2

The point (10,14) has the y coordinate y = 14

The vertical distance between those points is 14-2 = 12 units

One third of this is (1/3)*12 = 4

If we started at (4,2) and moved up 4 units, then the y coordinate goes from y = 2 to y = 2+4 = 6. This also matches (6,6)

----------------------------

Hopefully by now you have a sense of how this all works. Let's use these tricks to find the location of point A.

The horizontal distance from (4,2) to (8,4) is 8-4 = 4 units. This triples to 4*3 = 12 units. We triple here because we're going in reverse of the process described in the previous two sections. If (8,4) and A swapped places, then we would take one third instead.

We'll use that 12 to count out 12 horizontal spaces from (4,2) to get to (16,2). I added 12 to the x coordinate of (4,2).

Repeat the process for the y values. The vertical distance from (4,2) to (8,4) is 2 units, which triples to 6. Add 6 onto the y coordinate of (16,2) and we arrive at (16, 8) which is the location of point A.

--------------------------------

Now let's find the location of point C'

The horizontal distance from (-2,11) to (4,2) is 6 units because |-2-4| = 6. Multiply this by 1/3 and we get (1/3)*6 = 2

To get to the location point C', we need to start at (4,2) and move to the left 2 units. That means (4,2) will move to (2,2) as a temporary location.

We apply the same idea for the y coordinates. The vertical distance from (4,2) to (-2,11) is 9 units. This leads to (1/3)*9 = 3 units being the vertical distance from (4,2) to the location of C'. We'll add 3 to the y coordinate of (2,2) to arrive at (2,5) which is the location of C'.

14 (multiplied) or (divided) by what gives me -11.2

Answers

Answer:

-0.8

Step-by-step explanation:

firstly do

-11.8 ÷ 14 which will give you -0.8

14 × -11.8 = -0.8

PLEASE HELP ITS DUE AT MIDNIGHT

Answers

Answer:
The rest of the question is the attached figure
The percent change =
If (+ve) increase and if (-ve) decrease
Part A: What is the percent of change in the cost of a pizza?
The initial price = $7.5
The final price = $9
The percent change = %
Part B: What is the percent of change in the cost of a cheeseburger?
The initial price = $5
The final price = $6.5
The percent change = %
Part C: What is the percent of change in the cost of a serving fries?
The initial price = $2
The final price = $4.5
The percent change = %
Part D: What is the percent of change in the cost of a hot dog?
The initial price = $2.5
The final price = $2
The percent change = %
i found this online i hope if helps you

Step-by-step explanation:

[tex]\frac{9.00 - 7.50}{7.50} \times 100\% = 20\% \: increase[/tex][tex] \frac{6.50 - 5.00}{5.00} \times 100\% = 30\% \: increase[/tex][tex] \frac{4.50 - 2.00}{2.00} \times 100\% = 125\% \: increase[/tex][tex] \frac{2.00 - 2.50}{2.50} \times 100\% = - 20\%[/tex]

In order to get the increase or decrease, we need to get the difference of the two prices first. Then, pick a "reference year".

From the calculations, notice how I made the earlier years as my reference points. If the calculations produced positive results, therefore, it has increased. If it produced a negative results, from the reference year's price, it has decreased in price.

Graph the function f(x)=-4/3x+4

Answers

Answer: Option D is correct.

Step-by-step explanation: An exponential function is in the form of  where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y =            ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y =   = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as  ,  

as   ,  

therefore, the only graph which represents the function y =    is Option D

Plz help!!!!!!!!!!!!!!!!!!!!!

Answers

So we need to find the unit rate (the denominator is 1). Divide 18 by 3 to find the amount of miles in 1 day. 18/3=6. So m=6d. To find the number of miles in 10 days, you can make an equation 1/6=10/x. x=60, so the number of miles Henry will bike in 10 days is 60 miles. Repeat with the second chart

¿cuales son las funciones de sunass, osinergmin y osiptel?

Answers

Answer:

la verdD no c

Step-by-step explanation:

pero tu pon lo q creas nadie es perfecto

what is the value of n?
enter answer in box​

Answers

Answer:

6!

Step-by-step explanation:

chord x chord = chord x chord

(5) (n+8) = (7) (n+4)

i just started plugging in numbers

(5) (6+8) = (7) (6+4)

5 x 14 = 7 x 10

70=70

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