Answer:
Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
![\displaystyle \large{z=4[\cos (-\frac{\pi}{4}) + i\sin (-\frac{\pi}{4})]}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clarge%7Bz%3D4%5B%5Ccos%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%20%28-%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5D%7D)
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.
Hence, the complex number that has polar coordinate of (4,-45°) is
Answer:
Step-by-step explanation:
If we are given the quadratic model, we know that the height of anything on the ground is 0 meters, so that model becomes
I changed your x's to t's since t is for time.
Now we need to factor that quadratic and solve for time:
Since -2 definitely does not equal 0, then
Factor that and find t values of 4 and -2. Again, we know that time will never be negative, so
t = 4 seconds.
Answer:
In the explanation
Step-by-step explanation:
x = 0, y = -2*0+11=11
x = 1, y = -2*1+11=9
x = 4, y = -2*4+11=3
Hope this helps!
Answer:
1560
Step-by-step explanation:
The rate of Increase of the population (P) of the bacteria is given as:
Where k is a constant of Integration.
At t=0, P(t)=36
Therefore:
Since there is no base down payment or anything the equation i think would just be 35m = c
If there was say a one time payment of $20 and then the monthly payments it would look like 20+35m=C
I hope this helps :)
