Answer:
y = 3x - 17
Step-by-step explanation:
Parallel lines have the same slope so the equation would be y = 3x + b
plugging in the points you get -2 = 3(5) + b
this is -17 = b
Answer:
14.7
Step-by-step explanation:
Perhaps your equation is ...
f(t) = N·e^(-0.2174t)
We want f(6) = 4, so ...
4 = N·e^(-0.2174·6) = N·e^-1.3044 ≈ 0.2713N
N = 4/0.2713 = 14.7 . . . . milligrams
The dose amount was about 14.7 mg.
Answer:
43/13, 129/26, 129/13, 645/26
Step-by-step explanation:
Let w represent the number of red tiles, x represent the number of blue tiles, y represent the number of green tiles and z represent the number of yellow tiles. Hence:
w + x + y + z = 43 (1)
x = 3/5(w + x)
2x/5 = 3w/5
x = 3/2(w)
x = 5w/2 - w = 3w/2 (2)
y = 2/3(x + y)
y/3 = 2x/3
y = 2x = 2(3w/2) = 3w (3)
z = 5/7(y + z)
2/7(z) = 5y/7
z = 5y/2 = 5(3w)/2 = 15w/2 (4)
substitute x = 3w/2, y = 3w and z = 15w/2 in equation 1:
w + 3w/2 + 3w + 15w/2 = 43
13w = 43
w = 43/13
x = 129/26
y = 3w = 129/13
z = 645/26
Step-by-step explanation:
Use the angle difference formula for cosine.
cos(α − β) = cos α cos β + sin α sin β
cos(180° − θ) = cos 180° cos θ + sin 180° sin θ
cos(180° − θ) = (-1) cos θ + (0) sin θ
cos(180° − θ) = -cos θ
