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°
Answer:
3
Step-by-step explanation:
0.75 x ? = 15
? = 15/0.75 = 20
15% of 20 = 3
Answer:
y=2/7x
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept,
y=2/7x+0
y=2/7x
The answer is (2,0)
Explanation
So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.
X-y=2
+y. +y
X= y + 2
Now that we have solved for x we are going to plug it into the first equation!
Shown like this
Y+2 - 10y = 2
Then we solve it as a normal problem
So first we combine light terms
-9y+2=2
Then we isolate the variable
-9y+2=2
-2. -2
-9y = 0
Then we divide by -9 on both sides
-9y /-9 = 0 / -9
Y = 0
Now that we solved for y we plug it into one the equations to get the x value!
X - 0 = 2
X=2
The solution is (2,0)
I hope this helped you! Pls mark as brainliest
Answer:
-1
Step-by-step explanation:
The radian gives the coordinates: (
(found using the unit circle)
cot=x/y
Plug the x and y coordinates into their respective places in the equation.
You get the answer of -1.
