The answer would be 6x(5x-2).
Since both terms have x in them, x will be apart of your answer.
The GCF of 12 and 30 is 6.
So you can factor out 6x from both terms.
Hope this helps!
Answer: the value of | 2x + y | = 1.39
the direction of 2x + y = 21°
Step-by-step explanation:
Given that the vectors x and y are unit vectors that make and angle of 30 degrees with each other.
Let assume that unit vector x is along the positive x-axis, and unit vector y is at +30°.
Therefore
2x-y=
2< 1,0 > - < cos(30),sin(30) >
=<2-(√2)/2, 0-1/2>
and
|2x-y|=√((2-(√2)/2)² + (-1/2)^2)
=1.3862
Therefore the value of | 2x + y | = 1.39
=atan((-1/2)÷(2-(√2)/2))
=atan(1.29289/-0.5)
=-0.369 radians
= -21.143°
Therefore the direction of 2x + y is
21°
Remember that the slope of a line never changes, so you can choose whatever 2 points you want and you will always get the same slope. Calculate the rise and run (You can draw it on the graph if it helps). The slope is 2/4, which , of course, you can simplify to ½.
Answer:
$8,050 total
Step-by-step explanation:
notebooks: 13×400=5200
desktop: 19×150=2850
