All categories

3 years ago

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

Help me pleeeeaaaase

guapka [62]

Solve for x (get x by itself)

$4x-\frac{5}{y} =2z$ Add 5/y on both sides

$4x-\frac{5}{y}+\frac{5}{y}=2z+\frac{5}{y}$

$4x=2z+\frac{5}{y}$ Divide 4 on both sides to get "x" by itself

$\frac{4x}{4} =\frac{2z+\frac{5}{y}}{4}$

$x = \frac{z}{2}+\frac{5}{4y}$

If dividing 4 confuses you, then you can do this:

$4x=2z+\frac{5}{y}$ Multiply 1/4 on both sides

$(\frac{1}{4})4x=(2z+\frac{5}{y})(\frac{1}{4})$ Distribute 1/4 into (2z + 5/y)

$x=(2z(\frac{1}{4})+\frac{5}{y}(\frac{1}{4}))$

$x = \frac{z}{2} +\frac{5}{4y}$

5 0

3 years ago

WhAt is the average ?3 4 5 10

Dima020 [189]

Average =
2 + 7 + 19 + 24 + 25
——————————
5
=
77
—
5
= 15.4

8 0

3 years ago

How much interest is earned on an investment of $12,000 at 2.9% compounded daily for eight years

geniusboy [140]

Answer:

$3,113,34

Step-by-step explanation:

The formula for calculating compound interest is

$A=P(1+\frac{r}{n})^{nt}$

Where

A=the future total value, i.e, the money you will have after t years.

P=the initial deposit.

r=the annual interest rate.

n=the number of times that interest is compounded per year.

t=the number of years the money is saved.

In our case

A is unknown and we will have to calculate it with the formula.

P=$12,000

r=2.9%=0.029

n=365 because the interest is compounded daily and there are 365 days in a year

t=8 years

Applying the formula we get

$A=12,000(1+\frac{0.029}{365})^{365\times8}$

$A=12,000(1+\frac{0.029}{365})^{2,920}$

$A=12,000(1.000079)^{2,920}$

So A=15,113.336

This is the amount of money you would have after 8 years.

Subtracting the initial deposit from this amount we obtain the interest earned I

I=15,113.336-12,000=3,113.336

Rounded to the nearest hundreth

I=$3,113,30

8 0

4 years ago

F(x)=x^2. What is g(x)? <br>A. g(x)=1/4x^2<br>B. g(x)=1/2x^2<br>C. g(x)=(1/2x)^2<br>D. g(x)=2x^2

murzikaleks [220]

Answer:

The answer is b g(x)=1/2x^2

Step-by-step explanation:

7 0

3 years ago

If peter can type 80 words in 2 minutes how many words can he type in 5 minutes if he continues to type at the same rate. Show a

klasskru [66]

Answer:

200 words are peter can be type in 5 minutes.

Step-by-step explanation:

As given

If peter can type 80 words in 2 minutes .

i.e

80 words = 2 minutes

Now words type in 1 minutes.

$1\ minutes = \frac{80}{2}\ words$

1 minutes = 40 words

Now calculate number of words are type in 5 minutes.

Words are type in 5 minutes = Number of minutes × Number of words are type in 1 minutes.

Number of minutes = 5 minutes

Number of words are type in 1 minutes = 40 words

Words are type in 5 minutes = 5 × 40

= 200 words

Therefore 200 words are peter can be type in 5 minutes.

4 0

4 years ago