1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
3 years ago
13

I need help asap pls

Mathematics
1 answer:
Darya [45]3 years ago
4 0

Answer:

v = <-3√2 , 3√2>

v = <-10 , 0>

Step-by-step explanation:

∵ Vector v in the same direction of vector u

∴ u = v/║v║

∵ u = <-3 , 3> ⇒ convert it to unit vector

∴ ║u║ = √(-3)² + (3)² = √18 = 3√2

∵ Unit vector = u/║u║

∴ u = <-3 , 3>/3√2 =<-3/3√2 , 3/3√2>

∴ u = <-1/√2 , 1/√2>

∵ u = v/║v║

∴ u ║v║ = v

∵ ║v║ = 6

∴ v = 6 <-1/√2 , 1/√2>

∴ v = <-6/√2 , 6/√2> ⇒ multiply up and down by √2

∴ v = <-3√2 , 3√2>

∵ Vector v in the same direction of vector u

∴ u = v/║v║

∵ u = <-10 , 0> ⇒ convert it to unit vector

∴ ║u║ = √(-10)² + (0)² = √100 = 10

∵ Unit vector = u/║u║

∴ u = <-10 , 0>/10 =<-1 , 0>

∴ u = <-1 , 0>

∵ u = v/║v║

∴ u ║v║ = v

∵ ║v║ = 10

∴ v = 10 <-1 , 0>

∴ v = <-10 , 0>  

∴ v = <-10 , 0>

You might be interested in
8. What is the surface area of the given figure?
Liono4ka [1.6K]

Answer:

C. 336 cm²

Step-by-step explanation:

Area formulas:

Area of a right triangle: a × b ÷ 2

Area of rectangle: length × width

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

In this figure, there is a rectangle with a width of 12 and a height of 6.

; the area of the rectangle is 72 cm².

There are two right triangles with legs of 6 and 8.

There are two right triangles so..

The area of a single triangle is 24 cm²; the area of the triangles combined is 48 cm.

There is a rectangle in the middle with a width of 8 and a height of 12.

The area of the rectangle is 96 cm².

Lastly, there is a rectangle with a width of 10 and a height of 12.

The area of the rectangle is 120 cm².

Now, add the areas of every shape to find your answer.

Step-by-step explanation:

3 0
2 years ago
What steps should be followed to solve the inequality -4x &lt; 8.
marishachu [46]

Answer:

The require step to solve the inequality

-4x < 8 is

Divide by -4 on each side and flip the sign.

\therefore x

Step-by-step explanation:

What steps should be followed to solve the inequality

-4x < 8

Solution:

-4x < 8

Divide by -4 on each side and flip the sign.

So the equation becomes

\dfrac{-4x}{-4}> \dfrac{8}{-4}\\ \\

Now minus 4 will get cancel from left and side and in right inside -2 will be there such that (flip the sign)

\dfrac{x}{1}> \dfrac{-2}{1}\\\\\therefore x>-2

8 0
3 years ago
Read 2 more answers
George wants to put carpeting in a rectangular living room and a square bedroom.The length and width of the living room is 12 fe
erastova [34]

Answer:

Expression:  3.5((12x18) + 13²)

Step-by-step explanation:

Since George is going to put carpeting in two different rooms, one rectangular and one square, you need to find the area of each room, add the sum and then multiply the total area needed by the cost per square foot of carpet.  The area of a rectangle is: a = lw, where l=length and w = width.  The area of a square is: a = s², where s = side of the square.  Take the sum of these two areas would be (12 x 18) + 13² or 213 + 169 = 382.  Since the cost of the carpet is the same per square foot, you can multiply the entire sum by the cost of $3.50 or:  3.5((12 x 18) + 13²) or 3.5(382) = $1,337.

5 0
3 years ago
I need help asap!!
Elza [17]

Similar triangles that have a scale ratio other than 1 are not congruent triangles.

The true statement about the proportions of the sides is \frac{AC}{DF} = \frac 52

The scale ratio is given as: 5 : 2

And the corresponding sides are given as:

  • AB and DE.
  • BC and EF.
  • CA and FD.

The above highlights mean that,

\frac{AC}{DF} = \frac{BC}{EF} = \frac{AB}{DE} = \frac 52

Hence, the true statement is \frac{AC}{DF} = \frac 52

Read more about similar triangles at:

brainly.com/question/14285697

4 0
2 years ago
Arrange these numbers in order from least to greatest:<br> 1.02, 0.102,0.12, 1.20, 0, -1
Sonja [21]

Answer:

-1 , 0, 0.102, 0.12, 1.02, 1.20

Step-by-step explanation:

that's the correct answer

7 0
2 years ago
Other questions:
  • How do you find the intersection points given 2 or more equations in a ti-84 calculator?
    7·1 answer
  • Answer step by step
    15·1 answer
  • Find the measurement of each segment. assume that each figure is not drawn to scale
    8·1 answer
  • What is the degree measure of x? A) 37° B) 50° C) 62° D) 74°
    7·1 answer
  • What is -15÷3 please help me with this <br>​
    8·2 answers
  • Un camión admite en su interior 68,25 toneladas de patatas. Se cada caja de patatas pesa 22,75 Kg, ¿cuántas cajas de
    11·1 answer
  • 56 = ?×?×?×? i want to know what number ecual yo 56 by multiplying it 4 times to get your answer
    8·1 answer
  • Hurry!! Worth 10 points
    9·2 answers
  • Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence
    15·1 answer
  • Given m n, find the value of x.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!