Answer:
A
Step-by-step explanation:
First, we need to find the unknown angle of the triangle.
40 + 20 = 60
180 - 60 = 120
So the unknown angle is 120.
Then, we can use the law of sines to create a proportion.
sin(120)/8 = sin(40)/a
Then, we can simplify this.
a is about 5.9, or answer choice A.
Answer:
what's your question though?
Answer:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:

For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
(xy)' + (2x)' + (3x^2)' = (4)'
y + xy' + 2 + 6x = 0
xy' = -y -2 -6x
y' = [-y -2 -6x] / x
Now solve y from the original equation and substitue
xy + 2x + 3x^2 = 4 => y = [-2x - 3x^2 + 4] / x
y' = [(-2x - 3x^2 +4) / x - 2 - 6x ] / x
y' = [-2x - 3x^2 + 4 -2x -6x^2 ] x^2 = [ -4x - 9x^2 + 4] / x^2 =
= [-9x^2 - 4x + 4] / x^2
Answer:
They have different slopes and different y-intercepts, so they have no solution
Step-by-step explanation: