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Musya8 [376]
3 years ago
6

Find the length of the longest side of the rectangle whose vertices are given. a(2, 1), b(5, 4), c(0, 3), d(3, 6)

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0
First, you plot the coordinates to visualize the problem clearly. As you can see in the picture, the longest sides could either be one of those marked in red. This could be initially determined when you use visual estimation. We measure this using the distance formula: d = √[(x2-x1)^2 + (y2-y1)^2)]

Between coordinates (0,3) and (3,6)
d = √[(3-0)^2 + (6-3)^2)]
d= 4.24 units

Between coordinates (2,1) and (5,4)
d = √[(5-2)^2 + (4-1)^2)]
d= 4.24 units

They are of equal length. Both are the longest sides which measures 4.24 units.

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Answer:

\frac{3}{2}  cups of butter should be use to keep the same ratio.

Step-by-step explanation:

Given:

A recipe for pie dough calls for a ratio of butter to flour of 1/4 :5/6.

If you plan to use 5 cups of flour.

Now, to find the butter should be used to keep the same ratio.

So, to get the quantity of butter by using unitary method:

If, \frac{5}{6}  cup of flour use then butter should be = \frac{1}{4} .

So, 1 cup of flour use then butter should be = \frac{1}{4} \div \frac{5}{6} =  \frac{6}{20} .

Thus, for 5 cups of flour butter should be = \frac{6}{20} \times 5 = \frac{30}{20}=\frac{3}{2} .

Therefore, \frac{3}{2} cups of butter should be use to keep the same ratio.

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3 years ago
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Sladkaya [172]

Answer:

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Step-by-step explanation:

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Step 1

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x = 6 or 2

Step 2

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When x = 6

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Therefore, x - 4 = 2 or -2

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Answer:

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Step-by-step explanation:

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3 years ago
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