Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
Answer:
51 milligrams
Step-by-step explanation:
Exponential growth or decay can be modeled by the equation ...
y = a·b^(x/c)
where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.
In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...
b = 95/190 = 1/2
c = 19 hours
Then, for x in hours the remaining amount can be modeled by ...
y = 190·(1/2)^(x/19)
__
After 36 hours, we have x=36, so the remaining amount is ...
y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams
About 51 mg will remain after 36 hours.
So the larger number is x, and the smaller number is y
7y=x
3x=7+4y
(So plug in the 7y=x information into the second equation)
3(7y)=7+4y
21y=7+4y
17y=7
y=7/17
A line that is tangent to each of the two coplanar circles
Answer:
-3ad/2 -2bd = c
Step-by-step explanation:
3a + 4b = 1 - 2c/d
⇒3ad + 4bd = d - 2c [multiply d on both sides]
⇒3ad + 4bd - d = -2c [subtract d on both sides]
⇒3ad/(-2) + 4bd/(-2) = c [divide -2 on both sides]
⇒-3ad/2 -2bd = c
