Answer: 5 pack
Step-by-step explanation:
From the question, we are informed that Sebastian bought a 30-pack of mechanical pencils and plans to give his friends an equal number of pencils to the 6 friends.
Therefore, each friend will get:
= 30 / 6
= 5 packs
First understand that this is a linear graph. Find 2 points on the graph. We can use (0,1) and (3,-3).
Look at how much the x increases, in this case the x value increases by 0+3, so 3.
Then see how much the y value increases (make sure to evaluate them in the same order) 1 + (-3) = -2.
So you know that the y value decreases by 2 units for every 3 unit increase in x. Therefore the slope is y=(-2/3)x
Then figure out what you add to the end. The y intercept is (0,1), so add 1 to the end of y=(-2/3)x to move it up.
Your resulting eq is y=(-2/3)x+1
The first triangle has a perimeter of 4+6+10 = 20.
The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.
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These side lengths mean the "triangle" is a line segment. That is, it has zero area.
