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The distance from (b,2) to (-2,2)

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The distance from (b,2) to (-2,2) [#permalink] New post 29 Aug 2016, 23:46
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39% (00:30) correct 60% (00:37) wrong based on 33 sessions
The distance from (b,2) to (-2,2) is 3

Quantity A
Quantity B
b
0


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 30 Aug 2016, 00:21
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There are two values of b which satisfies the above expression.

b = -5 and b=1.

Hence D is the right option.
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 25 Jul 2017, 11:28
I am lost in this one. I plug in the values of the points into the distance equation √(x1 - x2)² + (y1 - y2)2. And I obtained b = -1 and b=-7. What I did wrong. Thanks for the help.
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 25 Jul 2017, 15:29
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TUTTIAM52 wrote:
I am lost in this one. I plug in the values of the points into the distance equation √(x1 - x2)² + (y1 - y2)2. And I obtained b = -1 and b=-7. What I did wrong. Thanks for the help.


Can you show us your calculations?

That said, the distance formula isn't really necessary here, since the two given points have the same y-coordinate.

Cheers,
Brent
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 05 Oct 2018, 23:16
I used the formula to try to calculate the distance and it did not work. I was trying to use the formula to practice with.

I used the formula SQUARE ROOT OF [(x1-x2)² + (y1-y2)²]

(x1,y1) = (b,2)

(x1,y1) = (-2,2)

I got

3 = SQUARE ROOT OF (b+2)²
0 = b² + 4b + 4 -3
0 = b² + 4b + 1

And I got stuck here.

I couldn't solve for b because it wouldn't solve. I was trying to do something like 0 = (b + ?)(b + ?), but nothing would fit it to get the coordinates that are the answer.

I'm not sure what I'm doing wrong?
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 14 Oct 2018, 04:45
I did not understand how b=-5..Plz help
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 14 Oct 2018, 07:20
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Sonalika42 wrote:
The distance from (b,2) to (-2,2) is 3

Quantity A
Quantity B
b
0


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


hi Reetika,
the points (b,2) and (-2,2) should tell you that these are coordinates as shown
Also since y- coordinates are 2 in both cases, the points are in a straight line parallel to x axis.

Now distance between the two points is 3 and this will totally depend on x coordinates..
so |b-(-2)|=3

two case..
    |b+2|=3.....b+2=3.....b=1, so Column A>column B
    |b+2|=3.....b+2=-3.....b=-5, so Column A<column B

D
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Re: The distance from (b,2) to (-2,2) [#permalink] New post 27 Nov 2018, 21:41
thank you
Re: The distance from (b,2) to (-2,2)   [#permalink] 27 Nov 2018, 21:41
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