Answer:
X=30
Step-by-step explanation:
y=kx
6=10k
k=0.6
y=0.6x
18=0.6x
X=18/0.6
x=30
Answer:
The required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
Step-by-step explanation:
![z_1=6[\cos (\frac{5\pi}{4}) + i\sin(\frac{5\pi}{4})]...........(1)\\\\Now,\cos (\frac{5\pi}{4})=\cos(\pi+\frac{\pi}{4})\\\\=-\cos(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}\\\\And,\sin (\frac{5\pi}{4})=\sin(\pi+\frac{\pi}{4})\\\\=-\sin(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}](https://tex.z-dn.net/?f=z_1%3D6%5B%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%5D...........%281%29%5C%5C%5C%5CNow%2C%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Ccos%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5C%5CAnd%2C%5Csin%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Csin%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D)
On substituting the obtained values in equation (1)
![z_1=6[\frac{-1}{\sqrt{2}}-i\cdot \frac{1}{\sqrt{2}}]\\\\\implies z_1=-3\sqrt{2}- 3\sqrt{2}\cdot i](https://tex.z-dn.net/?f=z_1%3D6%5B%5Cfrac%7B-1%7D%7B%5Csqrt%7B2%7D%7D-i%5Ccdot%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5D%5C%5C%5C%5C%5Cimplies%20z_1%3D-3%5Csqrt%7B2%7D-%203%5Csqrt%7B2%7D%5Ccdot%20i)
Hence, the required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
Answer: It's C. The third one.
Step-by-step explanation:
HOPE THIS HELPS!!!! : )
Answer:
a, 8,300
Step-by-step explanation:
1) We can determine by the table of values whether a function is a quadratic one by considering this example:
x | y 1st difference 2nd difference
0 0 3 -0 = 3 7-3 = 4
1 3 10 -3 = 7 11 -7 = 4
2 10 21 -10 =11 15 -11 = 4
3 21 36-21 = 15 19-5 = 4
4 36 55-36= 19
5 55
2) Let's subtract the values of y this way:
3 -0 = 3
10 -3 = 7
21 -10 = 11
36 -21 = 15
55 -36 = 19
Now let's subtract the differences we've just found:
7 -3 = 4
11-7 = 4
15-11 = 4
19-15 = 4
So, if the "second difference" is constant (same result) then it means we have a quadratic function just by analyzing the table.
3) Hence, we can determine if this is a quadratic relation calculating the second difference of the y-values if the second difference yields the same value. The graph must be a parabola and the highest coefficient must be 2
