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Klio2033 [76]
3 years ago
5

There are 3 consecutive odd integers that sum to -261. what are the integers​

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

-85, -87, -89

Step-by-step explanation:

1. Divide -261 by 3. (Answer is -87)

2. Take the odd integer before it (-85) and the odd integer after it (-89).

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Answer:

The value is u =  < \frac{2\sqrt{2}}{10} , \frac{3\sqrt{2}}{10} , - \frac{\sqrt{2}}{2}>

Step-by-step explanation:

From the question we are told that

The vector is a=<-4,-3,5>

Generally the unit vector is u = ay

Here y represent the y-coordinate

So

u =y

=> u =

Generally the resultant of a unit vector is 1

So

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|u| = \sqrt{ 16y^2 + 9y^2 + 25y^2} =  1

Taking the square of both sides

16y^2 + 9y^2 + 25y^2 =  1

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=> y =  \pm \frac{1}{\sqrt{50}}

=> y =  \pm \frac{1}{5 \sqrt{2}}

Rationalizing

=> y =  \pm \frac{\sqrt{2}}{10}

Given that the first coordinate is positive

y = - \frac{\sqrt{2}}{10}

Hence the unit vector is

u =

=> u =  < \frac{2\sqrt{2}}{10} , \frac{3\sqrt{2}}{10} , - \frac{\sqrt{2}}{2}>

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Step-by-step explanation:

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