Answer: y=3/2x+7
Step-by-step explanation:
To find the equation of the line that passes through the given point, let's first convert the given equation to slope-intercept form.
3x-2y=2 [subtract both sides by 3x]
-2y=-3x+2 [divide both sides by -2]
y=3/2x-1
Now that we have the equation in slope-intercept form, we know that the slope must stay the same because parallel lines NEVER touch. All we have to do is plug in the given point to find the y-intercept.
-2=3/2(-6)+b [multiply]
-2=-9+b [add both sides by 9]
b=7
Now, we know that the parallel equation is y=3/2x+7.
Okay so start with getting the x by itself
tan46 = x/12
multiply both sides by 12
12tan46 = x
put that into a calculator and you get:
x=12.4
We have been given that a bag of uninflated balloons contains 10 red, 12 blue, 15 yellow and 8 green balloons.
We need to find the probability of drawing a red balloon.
We know that probability is given by

Since we know that there are 10 red balloons. Therefore, our number of favorable outcomes is 10.
In order to find the total number of outcomes, we will add balloons of all colors.
Therefore, total outcomes are = 
We can now substitute the values of favorable outcomes and total outcomes in order to find the required probability.

I bet the ODE is supposed to read

Then if
, we have
and
, and substituting these into the ODE gives

Solving for <em>r</em>, we find

so that
and
are two fundamental solutions to the ODE. Thus the general solution is

Given that
and
, we get

So the particular solution is

Answer:
7.7- 3.51 goes to 8-4=4
3.5 -1.2 goes to 4-1 =3
22.78 - 14.12 goes to 23 - 14=9
16.208 - 3.652 goes to 16- 4= 12