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9966 [12]
3 years ago
9

Look at this graph:

Mathematics
1 answer:
kvasek [131]3 years ago
4 0

Answer:

The slope is 4 or 4/1.

Step-by-step explanation:

Since these are all in numbers evenly divisible by 10, we can go ahead and make this easier by dividing everything by 10. When we do this, we can see a point crossing an intersection at (3,1), or if you left it, (30, 10). Next, we can see another point crossing another intersection at (4,5) or (40, 50). Since we have two points that are easy for us to subtract, we can use the slope formula. The formula is as follows: y2-y1 / x2-x1. We can pick which of these we want to be 1 or 2, but whichever one we pick has to be 1 or two on both the top on the bottom. for example, I did (50-10) / (40-30). That gets us 40/10. If you divided by ten in the first place, you would get 4/1. From there, if you have the bigger answer, you need to simplify to simply 4. The shorter answer doesn't need to be simplified because we already simplified. I hope this helps!

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Step-by-step explanation:

Given: Point P is \dfrac{4}{7} of the distance from M to N.

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As per given,

\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}

Hence, P partition the directed line segment from M to N in 4:3.

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