Find the magnitude of the projection of〈-4,-4⟩ onto the vector ⟨−1,−6⟩

Answers

Answer 1

Answer:

[tex]\dfrac{28\sqrt{37}}{37} \approx 4.6\; \sf (nearest\;tenth)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{7 cm}\underline{Scalar projection}\\\\Scalar projection $=\dfrac{u \cdot v}{|u|}$\\\\where:\\ \phantom{ww}$\bullet$ $u$ is the vector being projected onto.\\\end{minipage}}[/tex]

Given:

u = 〈-1, -6⟩v = 〈-4, -4⟩

Calculate the magnitude of vector u:

[tex]\implies |u|=\sqrt{(-1)^2+(-6)^2}=\sqrt{37}[/tex]

The scalar projection is the magnitude of the vector projection.

Therefore, the magnitude of the projection of vector v onto vector u is:

[tex]\implies \dfrac{u \cdot v}{|u|}=\dfrac{\langle -1, -6\rangle \cdot \langle-4, -4\rangle}{\sqrt{37}}=\dfrac{4 +24}{\sqrt{37}}=\dfrac{28}{\sqrt{37}}=\dfrac{28\sqrt{37}}{37}[/tex]


Related Questions

Write the equation using the table and graph pictured above
(Hint: this is a 2 step equation )

Answers

Answer:

y = -2x + 12

Step-by-step explanation:

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

I will use the first point (1, 10) and the last point (5, 2)

Plug in these values:

(2 - 10) / (5 - 1)

Simplify the parentheses.

= (-8) / (4)

Simplify the fraction.

-8/4

= -2

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the last point (5, 2). Plug in the x and y values into the x and y of the standard equation.

2 = -2(5) + b

To find b, multiply the slope and the input of x(5)

2 = -10 + b

Now, add 10 to both sides to isolate b.

12 = b

Plug this into your standard equation.

y = -2x + 12

This is your equation.

Check this by plugging in the other point you have not checked yet (1, 10).

y = -2x + 12

10 = -2(1) + 12

10 = -2 + 12

10 = 10

Your equation is correct.

Hope this helps!

Ms. Hartline grades one math test every 1⁄4 hour. How many math tests does she grade in 2 hours? HELP QUICK!!

Answers

Answer:

8 maths tests

Step-by-step explanation:

Given data

We are told that in 1/4 hour that is 0.25hour (15 mins) She grades 1 math test

our aim is to find how many maths test she grade in 3 hours (120min)

Hence

in  15 mins she does 1 grading

in 120 mins she does x

cross multiply

15x= 120

divide both sides by 15

x= 120/15

x= 8 maths test

Hence in 2 hours, she can grade 8 maths tests

Two new Clash of Clans games are coming out. Clash Heroes will cost $38 to download and $4 per month for membership. Clash Legends will cost only $20 to download but $6 per month for membership.
Write an equation for the cost of Clash Heroes:



Write an equation for the cost of Clash Legends:




Set your 2 equations equal to each other and solve to show when they would cost the same:


Which game is a better “deal” – show your work and label your answers!

Answers

Answer:

cl has a better deal

Step-by-step explanation:

ch=38+4m=50

cl=20+6m=50

ch=4*3 months =12+38=50

cl=6*5 months=30+20=50

Drag each label to the correct location on the image.

Here is an addition sentence:

13 + (12 + 3) = 28

Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of addition.

these are the stuff
( ) 13 12 3 28
Blank + Blank+Blank=

Answers

13 + (15) = 28


Because you always add the numbers in the parenthesis so 12 + 3 = 15 and 13 + 15 = 28

Light yogurt sales in the United States have been declining eight percent per year since 2016 due to younger consumers choosing to switch to Greek yogurt. In 2016, distributors had $1.2 billion in light yogurt sales. Which equation could be used to represent light yogurt sales (in billions of dollars) in the U.S. 't' years after 2016? *




a. y= 1.2(0.92)^t

b. y= 1.2 (8)^t

c y= 1.2(0.08)^t

d. y=1.2(1.08)^t

Answers

Answer is a:y=1.2(0.92)^t

Andre earns $4,000 a month at his new job in order to track his spending and saving he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself use this circle graph to answer the following questions.

a) Andre is planning on renting a new apartment but he wants to stay within his Budget on rent and the utilities. Andre is looking for an apartment the apartment cost $1,450 per month plus $250 for utilities will this apartment fit with an Andres budget? explain your reasoning

b) how much more money does Andre budget for savings than for groceries and utilities? write answer as a dollar amount​

Answers

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

Jeff wants to know how many miles it is from his house to school. On a map the distance is 3 inches. If the scale is 1/2 inch for every 2 miles, how many miles is it to his school?

Answers

Answer:

12 miles

Step-by-step explanation:

1/2 inch per 2 miles

3 inches away

3 ÷ 1/2 = 6

6 * 2 = 12

what is the area of the shaded region and what steps do I have to do to find it out

Answers

Answer:

Usually, we would subtract the area of a smaller inner shape from the area of a larger outer shape in order to find the area of the shaded region.

Step-by-step explanation:

Yesterday, the temperature at noon was 12.8⁰F. By midnight, the temperature had decreased by 14.3 degrees. What was the temperature at midnight?

Answers

Answer:

-1.5 degrees

Step-by-step explanation:

have a nice day,

I need help mann I’m stuck

Answers

Answer:

slope -1/3

y- intercept 1

Answer:

Step-by-step explanation:

If i make another answer than a crown will appear click her crown

The point (6, -6) is reflected over the x-axis. What are the coordinates of the resulting point

Answers

Answer:

(-6,-6)

Step-by-step explanation:

(x,y) becomes (-x,y) when reflected over the x-axis

Area (pic included*) Explain why !!

Answers

Answer:

B. [tex]A(h) =3h^3 -h[/tex]

Step-by-step explanation:

Given is the figure of a trapezoid with following descriptions.

[tex] b_1=2h^2 +2[/tex]

[tex] b_2 =2h^2 +2+ 2h^2-6=4h^2 - 4[/tex]

[tex] height = h[/tex]

Now, by formula of area of trapezoid, we have:

[tex]A(h) =\frac{1}{2} (b_1+b_2)h[/tex]

[tex]A(h) =\frac{1}{2} (2h^2 +2+4h^2 - 4)h[/tex]

[tex]A(h) =\frac{1}{2} (6h^2 -2)h[/tex]

[tex]A(h) =\frac{1}{2} (6h^3 -2h)[/tex]

[tex]A(h) =\frac{1}{2} \times 2(3h^3 -h)[/tex]

[tex]A(h) =(3h^3 -h)[/tex]

[tex]A(h) =3h^3 -h[/tex]

Choose the correct phrase for 8n

A 8 plus n
B 8 divided by n
C 8 times n

Answers

the correct answer is c

Sweaters are $3 for $50. Leslie and her mother spent $100 on sweaters. How many did they buy

Answers

Answer:

6

Step-by-step explanation:

☆Answer :

Total = $100 ÷ $3

Total = $100/$3

Total [tex]\approx 33[/tex]

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

yes

Step-by-step explanation:

PLEASE HELP ME OUT! QUICK POINTS FOR YOU!

All information needed can be found in the image below
Thank you in advance.

Answers

Answer:

A med - A small = (36 - 16)pi inch^2

= 20 pi inch^2

Step-by-step explanation:

Area of medium pizza = 6^2 pi

Area of small pizza = 4^2 pi

A med = 36 pi inch^2

A small = 16 pi inch^2

A med - A small = (36 - 16)pi inch^2

Edited :sorry i thought that 8 and 12 where radiuses

Find the next 2 numbers in the sequence: 7, 28, 49,70, ....

Answers

Answer:

n

Step-by-step explanation:

Answer: 91, and 112

Step-by-step explanation: its is by two each time for example in the 7 time tables you see 7, 14, 21, 28 so the number after 14 and 21 is the next number, hope this helped have a good day or night. :)

A national standardized test is graded on a scale from 1 to 5. The scores for a particular school are given below. If a
student is chosen at random, what is the probability that they scored a 4 or a 5?
O A. 22.5%
OB. 45%
C. 60%
D. 75%
E. 90

Answers

Answer:

C

Step-by-step explanation:

Hope this helps! Pls mark brainliest

Help! Best answer gets brainliest!

Answers

Answer:

11

Step-by-step explanation:

because the length of 12 is the same of t+1 so 11+1=12

youre welcome

Answer:

156

Step-by-step explanation:

Plzzz help plzzzzzzzzzzzzzz

Answers

Given:

The figure of two quadrilaterals.

In [tex]ABCD,AB=18,BC=20,CD=22,AD=24[/tex]

In [tex]EFGH,EF=27,FG=30,GH=34, EH=36[/tex]

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

[tex]\dfrac{AB}{EF}=\dfrac{18}{27}[/tex]

[tex]\dfrac{AB}{EF}=\dfrac{2}{3}[/tex]

Similarly,

[tex]\dfrac{BC}{FG}=\dfrac{20}{30}[/tex]

[tex]\dfrac{BC}{FG}=\dfrac{2}{3}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{22}{34}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{11}{17}[/tex]

And,

[tex]\dfrac{AD}{EH}=\dfrac{24}{36}[/tex]

[tex]\dfrac{AD}{EH}=\dfrac{2}{3}[/tex]

Clearly, [tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}[/tex].

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

Homework help please

Answers

Answer:

[tex]V=868.13\ ft^3[/tex]

Step-by-step explanation:

Given that,

The side length of the base of the pyramid, a = 14.1 ft

The height of the pyramid, h = 13.1 ft

We need to find the volume of the pyramid. The formula for the volume of the square base pyramid is given by :

[tex]V=\dfrac{a^2h}{3}[/tex]

Put all the values,

[tex]V=\dfrac{(14.1)^2\times 13.1}{3}\\\\V=868.13\ ft^3[/tex]

So, the volume of the pyramid is equal to [tex]868.13\ ft^3[/tex].  


Greg bought a jacket for $35.23, a flag for $10.75, and a baseball cap for $17.25. He paid $50 and
the rest he borrowed from his friend. If Greg got $6.77 in change from the cashier, how much did he
borrow from his friend to pay for all the items?

Answers

Answer:

His friend gave Greg a 20$ bill.

Step-by-step explanation:

35.23+10.75+17.25=63.23

63.23-50= 13.23

13.23+6.77= 20

Answer:

He borrowed $6.46

Step-by-step explanation:

Add the totals up together. 35.23 + 10.75 + 17.25 to get 63.23

Subtract 50 from 63.23 (63.23 - 50.00) to get 13.23.

Subtract 6.77 from 13.23 (13.23 - 6.77) to get 6.46.

He borrowed $6.46 from his friend!

Hope this helps! Pls make brainliest

Marius combined 4/8 gallon of lemonade, 3/8 gallon of cranberry juice, and 6/8 gallon of soda water to make punch for a party. How many gallons of punch did he make in all?

Answers

13/8, which you can also write as 1 5/8

identify the trinomial that is a perfect square

Answers

Answer:

b

Step-by-step explanation:

Which of the following expressions is equivalent to (12x4−4x3+7x+6)+(3x2−4x+14)?

A
12x4−x3+3x+20

B
15x6−8x4+21x+6

C
15x6−4x3+3x+20

D
12x4−4x3+3x2+3x+20

Answers

Answer:

It believe its C

Step-by-step explanation:

Determine the equation of the graph. "Will give brainlist if right"

Answers

Answer:

I uploaded a file hosting link for your question!

Here is the link:

bít.ly/botshavenobrains

Step-by-step explanation:

Answer is A

Hope it helped :)

5. Krista wants to paint her
house. She buys 7 gallons of
paint. She uses of the paint on
the front of her house and then
buys 14 more gallons of paint.
How many gallons of paint does
she have left?

Answers

Answer:

7

Step-by-step explanation:

The function f(x)=(25)x
is shown on the coordinate plane. Which statement is true?

Answers

Answer: In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

Step-by-step explanation:

According to the graph, the end behaviour of the function in the image is decreasing without bound. When we graph a function, with put an arrow to indicate when a function increases or decreases without bound, that's why in this case we can say the decreases without bound, the function extends without limit.

Therefore, as the x increases, f(x) decreases. If you carefully pay attention to the graph, x is constantly increasing in the right end, and f(x) is more and more close to the x-axis.

Tamia uses 9.9 pints of white paint and blue paint to paint her bedroom walls. 1/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:

7.425 pints

Step-by-step explanation:

Given that Tamia uses white and blue paint and 1/4 of the amount is white paint then the fraction of blue paint

= 1 - 1/4

= 3/4

Given that the total quantity of paints is 9.9 pints, the number of blue pints used to paint her bedroom walls

= 3/4 * 9.9

= 29.7/4

= 7.425 pints

Find the midpoint of the segment with the following endpoints.
(10,7) and (2,1)

Answers

Answer: (6,4)

x- (10+2)/2=6
y- (7+1)/2=4
Other Questions
consider the circuit shown in (figure 1). the initial current in the inductor is is(0+) = 0. The phone call irony Budget deficits automatically __________ during recessions and __________ during expansions. 2. 3 What measures should be adopted to be safe from the destruction of the storm? Write the measures to be applied before, during and after the storm Write a letter: ting her to remain safe if storms A PPF is more likely to be a downward-sloping curve that is bowed outward than a downward-sloping straight line because most resources area. better suited for the production of some goods than others.b. used efficiently.c. relatively cheap at low levels of output. If you were in charge of search engine optimization for a client who was a personal trainer, what would you recommend that they do? 1 Active reading is a term used to refer to: Reading through passages without stopping Interacting with text by asking questions and looking for answers Reading without taking notes or marking txt All of the above None of the above 2 Strategies to manage the tendency to procrastinate include getting organized, putting aside distractions, and setting priorities. True The whole statement true. False Some of the statement false 3 Most students report that time management in college is Somewhat easy somewhat difficult about the same extremely easy 4 The act of delaying some task that needs to be completed is the definition of: Procrastination Delayed Gratification . Ego strength Chronic postponement None of the above Part ADetermine the force in members CD of the truss, and state if the member is in tension or compression. Take P = 1570lbFCD =Part BDetermine the force in members HI of the truss, and state if the member is in tension or compression. Take P = 1570lb .FHI =Part CDetermine the force in members CJ of the truss, and state if the member is in tension or compression. Take P = 1570lb .FCJ = What are the 5 types of settlement patterns? What's the difference in APA and MLA format? All of the following substances pass through the placenta except for: __________ what is the answer of this? mathematics needing some help Why was the Harlem Renaissance significant quizlet? Is Wikipedia the most reliable source of research topic idea? How long will the avocado ban last? Who is protagonist of the chapter? Who first used the blank verse? Which of these means "made byhumans"?A. ambientB. anthropogenicG. VOCD. particulate Which of the following types of law is based on the assumption that acts injure not just individuals, but society as a whole? a. tort law b. administrative law c. civil law d. criminal law