Find the value of n for which the vectors a⃗ =(3,2)a→=(3,2) and b⃗ =(9,n)b→=(9,n) are collinear.​

Answers

Answer 1

Answer:

For n=6, the given vectors will be collinear.

Step-by-step explanation:

Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.

Given

[tex]a = (a_1, a_2) = (3,2)\\b = (b_1, b_2) = (9,n)[/tex]

The ratio of first unit vectors is:

[tex]\frac{a_1}{b_1} = \frac{3}{9} = \frac{1}{3}[/tex]

In order for the vectors to be collinear the other ratio should also be 1/3

[tex]\frac{a_2}{b_2} = \frac{1}{3}[/tex]

Writing it mathematically

[tex]\frac{2}{n} = \frac{1}{3}\\2*3 = n\\n = 6[/tex]

Hence,

For n=6, the given vectors will be collinear.


Related Questions

6. On his fishing trip Justin takes the boat 12 km south. The fish aren't biting so he goes 4 km
west. What distance did he cover? What was his displacement?

Answers

Step-by-step explanation:

I trust that the answer is 3 because if he went 12km and bitting fish 4m which 4x3 is 12 so 3 is the answer !

Population density is a measure of how crowded an area is. The population density of Australia is approximately 7.6 people per square mile. If Bangladesh has 2,949.7 more people per square mile than Australia, what is the population density of Bangladesh?
2942.10 people per square mile
2957.30 people per square mile
3025.70 people per square mile
3709.70 people per square mile

Answers

Answer:

B

Step-by-step explanation:

Answer:

B) 2957.30 people per square mile

I don't need brainly btw

Angle 6 and angle 7 are related by

Answers

Answer:the answer is 5 and 8 i guess

Step-by-step explanation: For example, angles 1 and 2 are both facing in the same direction, to the upper right. Such angles are called corresponding angles. Similarly we have angles 3 and 6, angles 4 and 7, and angles 8 and 5 as corresponding angles.

Which graph best represents a line with a slope of
?

Answers

Answer:

A. y = -2/3 + 3

Step-by-step explanation:

the line intercept the y axis at +3

and the slope is: -2/3  

- i used coordinates (3,1) and (6,-1)

Answer:

y = [tex]\frac{-2}{3}x + 3[/tex]

Step-by-step explanation:

Take any two points

(x₁, y₁) = ( 3 , 1 )  & (x₂ , y₂) = (6 , -1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-1-1}{6-3}\\\\=\frac{-2}{3}[/tex]

m = (-2/3)  & (x₁, y₁) = ( 3 , 1 )

y - y₁ = m(x - x₁)

y - 1 = [tex]\frac{-2}{3}(x - 3)[/tex]

y - 1 = [tex]\frac{-2}{3}x - 3 *\frac{-2}{3}[/tex]

y - 1 = [tex]\frac{-2}{3}x + 2[/tex]

   y = [tex]\frac{-2}{3}x + 2 + 1[/tex]

  y =[tex]\frac{-2}{3}x[/tex] + 3

in the following diagram BC is parallel to DE. What is the mesure of x?

Answers

Answer:

Step-by-step explanation:

ppppppppppppppppppppppppppjjjjjyoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo

complete the multiplication table. ​

Answers

x     3           ?      128

?    2016     63     32

1     28         7       4

?     72        9        8

That's all I can think of

Please help someone im trying to pass this class

Answers

Answer:

The answer is C

Brainliest if correct please

Step-by-step explanation:

Write an equation of a line in slope intercept form that is parallel to y = -3x+9 and passes through the point (-2,-5)

Answers

Answer:

hi, bye

Step-by-step explanation:

Thx for the free points! ;)

round 184 to the nearest hundred. Enter yuor answer in the box below.​

Answers

Answer:

200

Step-by-step explanation:

874×1 =
874×10 =
874×100 =
874×1,000 =

Answers

Answer:

874×1 = 874

874×10 = 8,740

874×100 = 87,400

874×1,000 = 874,000

Step-by-step explanation:

Answer:

874

8,740

87,400

874,000

Step-by-step explanation:

Can someone help please

Answers

Answer:

length of AC=32

Step-by-step explanation:

Michelangelo buys a computer for $400. He is charged a 6% tax.


How much is just the tax?


How much is the total?

pls show work

Answers

Answer:

The tax is $24, so the total is 424

Step-by-step explanation:

6%= 0.06

0.06*400=24

24+400=424

1
Drag each expression to the correct location on the table.
Simplify each exponential expression using the properties of exponents and match it to the correct answer.
(32)(2-3)-3
2-3
(2-1)(3 . 2)
(3.2)3
(25.35.6-5
22
1/3
Reset
Next
Edmentum. All rights reserved.

Answers

Answer:

First-->1

Second - - > nowhere

Third - - >3

Forth - - >1

Fifth - - >1/3

There you go, have a great day

The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 9:7. If there are no additional butterflies at the farm, what is the ratio of Queen butterflies to the total number of butterflies at the farm? (5 points)


9:16

16:9

16:7

7:16

Answers

Answer:

7:16 is your answer :) hope it helps :)

Step-by-step explanation:

si 9 tarros tienen un precio de 450 ¿cuantos tarros se compran con 7200?

Answers

Answer:

350

Step-by-step explanation:

9=450

7=x

cross multiply

9x=3150

Divide both sides by 9

x=350

Please I need help!!!!!!!

Answers

Answer:

its B.

Step-by-step explanation:

Answer:

Option (B) -1.5 + (2.75) = -4.25

Step-by-step explanation:

Hope this helped if so leave a rating! :)

THANKS

PLEASE HELP!! MARKING BRAINLIEST. Which of the following is NOT equivalent to 100 to 200?
A 1 to 2
B 50 to 100
C200 to 400
D 20 to 60

Answers

Answer: D- 20 to 60

I know this because the others are all equivalent to 1 to 2 but 20 to 60 simplified is 1 to 3

What is the value of g?
-5+7g=3g+ 9

Answers

Answer:

g = 7/2

Step-by-step explanation:

-5 + 7g = 3g + 9

~Add 5 to both sides

7g = 3g + 14

~Subtract 3 to both sides

4g = 14

~Divide 4 to both sides

g = 14/4 or g = 7/2

Best of Luck!

Which number multiplied with 4 makes a product that is greater than 4?

Answers

Answer:

Any number really are there any pacific numbers

Step-by-step explanation:

Landon was taking a math test he finished 1/2 of the test in 357 hour how much of the test will he have done in one hour if he keeps the same pace

Answers

Answer: 1/714

Step-by-step explanation: Think about it

did you mean 3 hours and 57 minutes ?

Does 3/15 repeat or terminate

Answers

Answer:

3/15 terminates. (It's 0.2)

Step-by-step explanation:

Terminates 3/15 is 1/5. 1/5 is .2 so it terminates. I gotchu bro easy answer

Find the answers to this activity

Answers

Answer:

(224)10 = (E0)16

I dont know why it wouldnt be right this is the answer...Im acually confused now

Step-by-step explanation:

(224)10 = (E0)16

Step by step solution

Step 1: Divide (224)10 successively by 16 until the quotient is 0:

224/16 = 14, remainder is 0

14/16 = 0, remainder is 14

Step 2: Read from the bottom (MSB) to top (LSB) as E0. This is the hexadecimal equivalent of decimal number 224

A 14 inch pizza is cut into 8 slices. What is the area of each slice?(sector area)

Answers

Answer:

HOW????!!!

Step-by-step explanation:

Find the measure of each numbered angle.





Fill in your answers below:

m<1 =

m<2 =

m<3 =

m<4 =

Answers

Answer:

1 = 41

2 = 49

3 = 82

4 = 52

Step-by-step explanation:

Step-by-step explanation:

m<1 = 41

m<2 = 38

m<3= 79

m<4 = 52

14 sandwiches and 3 drinks cost €33.75. 6 sandwiches and 17 drinks cost €26.25 . How much cost 1 sandwich and 1 drink

Answers

Easy!! 1 sandwich and 1 drink costs 3.47

It rained all day on Father's Day and the temperature dropped ten and seven tenth degrees. The next day the rain
stopped and the temperature rose twelve and six tenths degrees. If the temperature at the beginning of Father's Day
was sixty five and eight tenths degrees, what was the temperature at the end of the day after Father's Day?
Write numerical answer only (no sentences, no units)
BEER
Activate
Go to Settings
p. 10 of 19

Answers

Answer:

67.7

Step-by-step explanation:

Temperature at beginning of Father's Day = 65.8 degrees

Drop in temperature because of rain = 10.7 degrees

Rise in temperature after the rain the next day = 12.6 degrees

Therefore, temperature at the end of the day after the Father's Day

= Temperature at beginning of Father's Day minus Drop in temperature because of rain plus Rise in temperature after the rain the next day

= 65.8 - 10.7 + 12.6

= 67.7 degrees

NB: The answer was written as only 67.7 as requested by the questioner.

Need help


Giving brainliest

Answers

Answer:

y=1/5x + 8/5

Step-by-step explanation:

First you take the reciprocal of -5 which is -1/5.

Then you substitute the values to find the b.

1= -1/5(-3) +b

1=3/5+b

Add 3/5 to both sides

1+3/5= 5/5+3/5

b=8/5

Help me out pleaseeeeeeeeeeeeeeeeee

Answers

i think it might be seven

I I think it’s 7 too sorry if we are wrong :(

Michaela rode her bike on 14 2/3 mile trail. She stopped every 3 1/5 miles for a drink of water . Issac and Jake estimated how many times Michaela stopped.

Answers

Answer/Step-by-step explanation:

The rail = [tex] 14\frac{2}{3} miles [/tex]

She stops after every [tex] 3\frac{1}{5}miles [/tex] for a drink.

The number of times she stopped for a drink = [tex] \frac{14\frac{2}{3}}{3\frac{1}{5}} [/tex]

Change the fractions to improper fractions

[tex] \frac{\frac{44}{3}}{\frac{16}{5}} [/tex]

Change the division operation to multiplication, and then flip the fraction on your right upside down.

[tex] \frac{44}{3} \times \frac{5}{16} [/tex]

[tex] \frac{44 \times 5}{3 \times 16} [/tex]

[tex] \frac{220}{48} = 4.58 [/tex]

If we approximate this to the nearest whole number, we would have an estimate of 5.

✅Therefore, we can conclude that Michaela stopped 5 times.

The estimate given by Issac and Jake is omitted in the question. However, the person who got an estimate of 5 is the person who made a better estimate.

Which gives the correct values for points A, B, C, and D?

Answers

Answer:

The correct answer is: A

Step-by-step explanation:

Points on a Numeric Line

The numeric line shown in the figure has four points A, B, C, and D. It's clear that each marked division of the line has a value of 1/4 units and all four points are below the reference zero, thus all are negative.

Point A is clearly on the -2 mark, thus

A=-2

Point B is one mark above A, thus it's located at:

[tex]B=-2+\frac{1}{4}=-\frac{7}{4}=-1\frac{3}{4}[/tex]

[tex]B=-1\frac{3}{4}[/tex]

Point C is one mark below -1, thus:

[tex]C=-1-\frac{1}{4}=-1\frac{1}{4}[/tex]

Finally, point D is one mark below 0:

[tex]D=-\frac{1}{4}[/tex]

The correct answer is: A

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