Ask question

Ask question

All categories

3 years ago

8

HELP NOW PLEASE

1 answer:

Nonamiya [84]3 years ago

3 0

The other number is 5 less than 3 times the other so the other number will be

3x-5

We are given that they add up to 31, so we can write

x+(3x-5) = 31

4x - 5 =31

You might be interested in

Write the algebraic expression. twice the sum of x and 4

Cloud [144]

Answer: Y= X+4•2

Word form: Y equals X plus 4 times 2

5 0

3 years ago

Count by ones from 368 to 500. Change for a larger unit when necessary.When you counted from 368 to 500:

gtnhenbr [62]

answer is attached below

4 0

3 years ago

Read 2 more answers

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

Choose a number between 55 and 101 that is a multiple of 2 8 and 16

inn [45]

Four is a multiple of twenty eight and sixteen, but there isn't a multiple of twenty eight and sixteen that is between fifty five and one hundred and one.

7 0

4 years ago

Read 2 more answers

Help pls I will give you the brainiest I need the answers for all of them

gogolik [260]

the 1st one goes to 2 and the 2nd one goes to 3 the 3rd one goes to 1 the and so on

8 0

3 years ago