Answer:x=-2 y=-6
Step-by-step explanation:
11x+4y=-46..........(1)
7x-4y=10..............(11)
Add (1) and (11)
11x+7x+4y-4y=-46+10
18x=-36
Divide both sides by 18
18x/18=-36/18
x=-2
substitute x=-2 in (11)
7x-4y=10
7(-2)-4y=10
-14-4y=10
Collect like terms
4y=-14-10
4y=-24
Divide both sides by 4
4y/4=-24/4
y=-6
Answer:
Option (3)
Step-by-step explanation:
w = ![\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B%5Ctext%7Bcos%7D%28225%29%20%2B%20i%5Ctext%7Bsin%7D%28225%29%5D)
Since, cos(225) = cos(180 + 45)
= -cos(45) [Since, cos(180 + θ) = -cosθ]
= -
sin(225) = sin(180 + 45)
= -sin(45)
= -
Therefore, w = ![\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%5B-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%2Bi%28-%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D%29%5D)
= 
= 
z = 1[cos(60) + i(sin(60)]
= 
= 
Now (w + z) = 
= 
= 
= 
Therefore, Option (3) will be the correct option.
The difference is that in 4x you are multiplying 4 two times and in x4 you are multiplying 2 four times so 4x will be 4*4and x4 will be 2*2*2*2
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
sin(D) = 20/29
D = arcsin(20/29)
D=43.60281897 °
cos( 43.60281897 °)= DF / 29
DF = 29*cos( 43.60281897 °)
DF = 21
sin(D) = 20/29
cos(D) = 21/29
tan(D) = 20 / 21
sin(E) = 21/29
cos(E) = 20/29
tan(E) = 21 / 20
