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lions [1.4K]
3 years ago
14

Help me please I need to do this

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Consider the attached tree.

You start from the root, and with each level you create a sub-branch for each of the choices you have.

So, the root has two children, white and multigrain bread.

Each of those children has three children, because you have three meat choices

Each of those children has two children, because you have two cheese choices.

Then, you identify all the sandwiches by choosing a leaf, and read the label that lead you there.

For example, leaf number 4 represents a sandwich with white bread, turkey and provolone.

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Consider M, N, and P. collinear points on MP.
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\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MN}{NP}-\dfrac{MN}{MN+NP}=\dfrac{MN(MN+NP)-MN\cdot NP}{NP(MN+NP)}=\\ \\=\dfrac{MN^2+MN\cdot NP-MN\cdot NP}{NP(MN+NP)}=\dfrac{MN^2}{NP(MN+NP)}

2. Point N lies to the right from point P, then MP + PN = MN.  Consider needed difference:

\dfrac{MN}{NP}-\dfrac{MN}{MP}=\dfrac{MP+PN}{NP}-\dfrac{MP+PN}{MP}=\dfrac{MP}{NP}+1-1-\dfrac{NP}{MP}=\dfrac{MP^2-NP^2}{NP\cdot MP}

3. Point N lies to the left from point M, then NM + MP = NP. Consider needed difference:

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