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zheka24 [161]
3 years ago
5

Distance between (-1,4) and (1,-1

Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

√29 units

Step-by-step explanation:

Find the distance between (-1,4) and (1,-1).

We'll use the Pythagorean Theorem:

The horizontal distance between the two points is 1 - (-1), or 2, and the vertical distance is 4 - (-1), or 5.

Thus, the distance squared is 2^2 + 5^2, or 29, and the distance between the two points is therefore

d = √29 units

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Use factoring to solve the quadratic equation x2 − 2x − 3 = 12.
melomori [17]

Answer:

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Step-by-step explanation:

You have the following quadratic equation given in the problem:

x^{2}-2x-3=12

You must make the equation equal to zero, as following:

x^{2}-2x-3-12=0

Add like terms:

 x^{2}-2x-15=0

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

(x-5)(x+3)=0\\x_1=5\\x_2=-3

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4 years ago
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A manager wants to determine the number of containers to use for incoming parts for a kanban system to be installed next month.
qwelly [4]

Answer:

2 containers should be used

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Step-by-step explanation:

According to the given data we have the following:

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C=53

In order to calculate how many containers should be used we would have to use the following formula:

Number of containers=<u>DT(1+X)</u>

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Number of containers=<u>(83)(1.33)(1+0.18)</u>

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Number of containers=2.45=2

2 containers should be used.

As the system improves, neither more or fewer containers be required

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