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3 years ago

7

Help please with this iready. Before 11:35. I give thanks

1 answer:

Paladinen [302]3 years ago

7 0

Answer:

y=x+4

Step-by-step explanation:

i took the test. good luck!

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Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

7 0

3 years ago

What is this can you guys help

dangina [55]

Answer:

see below

Step-by-step explanation:

The graph of y=10 is the graph of all the points (x, 10) for any value of x. Each one of those points is 10 units above the x-axis. Together, those points make a horizontal line where y = 10 (!).

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3 years ago

There are 229 people attending a convention. Each table seats 8 people. What is the least number of tables needed to seat everyo

tresset_1 [31]

25 Is the least number of tables

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4 years ago

Read 2 more answers

I need help now please

enyata [817]

Answer:

the 3rd one

Step-by-step explanation:

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3 years ago

Please help meeeeeeee

statuscvo [17]

Answer:

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