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jok3333 [9.3K]
3 years ago
14

The distance between (7,1) and (4,2)

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

Step-by-step explanation:

By the Pythagorean Theorem d^2=x^2+y^2

d^2=(7-4)^2+(1-2)^2\\ \\ d^2=9+1\\ \\ d=\sqrt{10}\\ \\ d\approx 3.16

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The total cost of producing a type of tractor is given by C(x)=11000−20x+0.02x2, where x is the number of tractors produced. How
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Answer:

Step-by-step explanation:

You need to complete the square.

C(x) = 0.02(x^2 - 1000x  ...)  + 11000

C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000

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Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000

There is a flow to this question that you may have trouble understanding.

First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.

Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.

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So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.

So what you have outside the brackets is 11000 - 5000 = 6000

The rest is just standard for completing the square.

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