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Tom [10]
3 years ago
8

1 and 5/6 + 2 and 2/11

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0
1 \frac{5}{6} +2 \frac{2}{11} =\frac{(1\times6)+5}{6} +\frac{(2\times 11)+2}{11} =\frac{11}{6}+\frac{24}{11} \\\\=\frac{11\times 11}{6\times 11} +\frac{24\times6}{11\times6} =\frac{121}{66} +\frac{144}{66}=\frac{121+144}{66} =\frac{265}{66}\\\\=\boxed{\bf{4\frac{1}{66}}}
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What is the exact distance from (-5,1) to (3,0).
Ilya [14]

Answer:

The distance between the two points is \sqrt{65} \ \text{units}.

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

\displaystyle \bullet  \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

\bullet  \ \ \ (x_1, y_1), (x_2, y_2)

This assigns a name to our points:

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Therefore, we can plug these into the formula and solve:

d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}

Therefore, the distance between the two points is \sqrt{65} \ \text{units}.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

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Answer:

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Step-by-step explanation:

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