The equation of direct variation is,
Substitute the values of <em>y</em> and <em>x</em>.
So, the obtained equation will be <em>y</em>=1.35(x).
Let's check with the values of <em>x</em>.
1) If <em>x</em>=4
2) If <em>x</em>=2
3) If <em>x</em>=-2
A bag contains 9 blue marbles and 3 red marbles. two marbles are drawn at random and at the same time. what is the probability o
2 answers:
The total number of marbles in the bag are 12 (9 blue marbles and 3 red marbles).
Let "A" be the event that both the drawn marbles are blue.
Therefore, if two marbles are drawn at random and at the same time, then the probability of getting two blue marbles can be calculated as:
This can also be expressed in terms of percentage as:
%
Thus, the required probability is either: or 75%
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Cos(<span>θ) < 0, so we know it would be in Quadrant 2 or 3
then csc(</span>θ) = 257, but csc(θ) =
= 257
==> sin(<span>θ) =
it is positive, so now we can determine that is in Quadrant 2
sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj:
cosθ =
tanθ =
cos<span>θ = </span>
then csc(</span>θ) = 257, but csc(θ) =
==> sin(<span>θ) =
it is positive, so now we can determine that is in Quadrant 2
sin(</span>θ) = opp./hyp both of opp and hyp are positive but adj suppose to negative because that way it leads the cos(<span>θ) < 0
</span>cos(<span>θ) = adj/hyp
</span>Pythereom to find the adj:
cosθ =
tanθ =
cos<span>θ = </span>
If we are to write this equation in slope-intercept form, it will be in y = mx + b, where m is the slope of the line and b is the y intercept. We need then to find the slope of the line using 2 points on the line and filling in the slope formula to find the slope. One of the points we can use is (0, 3) which is also the y intercept. The y-intercept is found where x = 0. Where x = 0, y = 3. So b = 3. Now for the slope we will use (0,3) and (4,4): 
. Using that m value and that b value we have the equation 
. There you go!