2cos(x) - 4sin(x) = 3
use identity [cos(x)]^2 +[ sin(x)]^2 = 1 => cos(x) = √[1 - (sin(x))^2]
2√[1 - (sin(x))^2] - 4 sin(x) = 3
2√[1 - (sin(x))^2] = 3 + 4 sin(x)
square both sides
4[1 - (sin(x))^2] = 9 + 24 sin(x) + 16 (sin(x))^2
expand, reagrup and add like terms
4 - 4[sin(x)]^2 = 9 + 24sin(x) + 16sin^2(x)
20[sin(x)]^2 + 24sin(x) +5 = 0
use quadratic formula and you get sin(x) = -0.93166 and sin(x) = -0.26834
Now use the inverse functions to find x:
arcsin(-0.93166) = 76.33 degrees
arcsin(-0.26834) = 17.30 degrees
Answer:
5 pounds
Step-by-step explanation:
Because if you do 1 1/4 x 4, it gives you 5.
Answer:
C, 
Step-by-step explanation:
The number of coyotes is decreasing, which makes it negative, but you can't have a negative year, so the answer must be
Answer:
y= -1x + 2
Step-by-step explanation:
-4/4 is the same as saying -1. slope always has to be in the simplest form.
