If a = 6, −9, 3 , then what is 4a?
4a = how does the magnitude of 4a compare to the magnitude of a?
1. the magnitude of 4a is the same as the magnitude of a.
2. the magnitude of 4a is a factor of 4 greater than the magnitude of a.
3. the magnitude of 4a is zero.
4. the magnitude of 4a is a factor of 4 less than the magnitude of a.
5. not enough information is given.

Option 2.

Step-by-step explanation:

It is given that

a = <6,-9,3>

We need to compare the maginitude of vertor a and vector 4a.

If a vector is defined as v = <x,y,z>, then its magnitude is defined as

Using the above formula we get

The vector 4a is  

The magnitude of 4a is a factor of 4 greater than the magnitude of a.

Therefore, the correct option is 2.

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is