Answer:
Step-by-step explanation:
As x increases four units from -4 to 0, y decreases four units from 0 to -4
slope m = Δy/Δx = -4/4 = -1
The y intercept is at (0, -4) so b = -4
y = -1x + -4
y = - x - 4
as m is negative, slope is negative
Answer:
B
Step-by-step explanation:
![\cos( \alpha ) + i\sin( \alpha ) = {e}^{i (\alpha + 2\pi)}](https://tex.z-dn.net/?f=%20%5Ccos%28%20%5Calpha%20%29%20%20%2B%20%20i%5Csin%28%20%5Calpha%20%29%20%20%3D%20%20%7Be%7D%5E%7Bi%20%28%5Calpha%20%20%20%2B%202%5Cpi%29%7D%20)
z = 3(cos π/2 + i sin π/2) =→
![3 {e}^{i \frac{\pi}{2} }](https://tex.z-dn.net/?f=3%20%7Be%7D%5E%7Bi%20%5Cfrac%7B%5Cpi%7D%7B2%7D%20%7D%20)
z⁷ =
![{3}^{7} {e}^{i \frac{7\pi}{2} } = {3}^{7} {e}^{i \frac{(7 - 4)\pi}{2} } = {3}^{7} {e}^{i \frac{3\pi}{2} } = {3}^{7} ( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) ) = 2187( \cos( \frac{3\pi}{2} ) + i \sin( \frac{3\pi}{2} ) )](https://tex.z-dn.net/?f=%20%7B3%7D%5E%7B7%7D%20%20%7Be%7D%5E%7Bi%20%5Cfrac%7B7%5Cpi%7D%7B2%7D%20%7D%20%20%3D%20%20%20%7B3%7D%5E%7B7%7D%20%20%7Be%7D%5E%7Bi%20%5Cfrac%7B%287%20-%204%29%5Cpi%7D%7B2%7D%20%7D%20%20%3D%20%20%7B3%7D%5E%7B7%7D%20%20%7Be%7D%5E%7Bi%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%7D%20%20%3D%20%20%7B3%7D%5E%7B7%7D%20%28%20%5Ccos%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%29%20%20%2B%20i%20%5Csin%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%29%20%29%20%3D%202187%28%20%5Ccos%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%29%20%20%2B%20i%20%5Csin%28%20%5Cfrac%7B3%5Cpi%7D%7B2%7D%20%29%20%29)
Answer:The answer is B:GH and LM because they are the same length
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Fiona (F) = Sushi (S)
Malachy (M) = 7 Fiona (F)
M = F + 90
F + 90 = 7F
6F = 90
F (Fiona) = 15
S (Sushi) = 15
check: Malachy (M) = 15 * 7 = 105
M-F = 105 - 15 = 90
Answer:
75
Step-by-step explanation:
Average needed to get grade C = 70
Average = Total Amount / No of Items.
No of items = 4
therefore Total needed = 70 x 4 = 280
current total score = 66.75 + 66 + 72.25 = 205
the fourth test minimum score = 280 - 205 = 75