Answer:
x(t) = -1 + 4t
y (t) = 3 - 5t
Step-by-step explanation:
The end points of the line segment are (-1, 3) and (3, -2).
Let a = (-1,3) and b = (3,-2)
Now, find the value of (b-a)
(b-a) = ((3+1), (-2-3))
b-a = (4, -5)
Therefore, the parametrization of the given line segment is
r(t) = a + (b-a)t
r(t) = (-1,3) +(4,-5)t
r(t) = (-1+4t, 3-5t)
We can rewrite this as
x(t) = -1 + 4t
y (t) = 3 - 5t
Alright, so after a half-life, half of the previous number would be left. So basically,
180 g ← 0 half lives
90 g ← 1 half life
45 g ← 2 half lives
22.5 g ← 3 half lives
11.25 g ← 4 half lives
Therefore, the answer is 11.25 grams
X^2 + 2xy + -x + y^2 + -y + -12
X+3x-11=4
4x=4+11
x=15/4
x=3.75
