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In the xy-coordinate system, the distance between points

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In the xy-coordinate system, the distance between points  [#permalink]

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New post 26 Mar 2015, 04:42
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68% (01:03) correct 32% (01:05) wrong based on 218 sessions

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In the xy-coordinate system, the distance between points \((2\sqrt{3}, \ -\sqrt{2})\) and \((5\sqrt{3}, \ 3\sqrt{2})\) is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.

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Re: In the xy-coordinate system, the distance between points  [#permalink]

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New post 26 Mar 2015, 07:27
1
D

distance =sqrt(x2-x1)2 +(y2-y1)2 (2 outside brackets stands for sqaure)

distance=sqrt32+27
=sqrt59

approx 7.7
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Re: In the xy-coordinate system, the distance between points  [#permalink]

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New post 26 Mar 2015, 11:32
1
The distance is
\(\sqrt{(5\sqrt{3}-2\sqrt{3})^2+(3\sqrt{2}+\sqrt{2})^2}=\sqrt{(3\sqrt{3})^2+(4\sqrt{2})^2}=\sqrt{9\cdot 3+16\cdot 2}=\sqrt{59}\)
since \(7^2=49\) and \(8^2=64\), \(7<\sqrt{59}<8\). Only D. gives a possible value and is the correct answer
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Re: In the xy-coordinate system, the distance between points  [#permalink]

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New post 30 Mar 2015, 03:43
Bunuel wrote:
In the xy-coordinate system, the distance between points \((2\sqrt{3}, \ -\sqrt{2})\) and \((5\sqrt{3}, \ 3\sqrt{2})\) is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.


MAGOOSH OFFICIAL SOLUTION:
Attachment:
distancebetweenpoints_text.PNG
distancebetweenpoints_text.PNG [ 19.29 KiB | Viewed 3300 times ]

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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: In the xy-coordinate system, the distance between points  [#permalink]

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New post 31 Mar 2015, 12:33
Bunuel wrote:
In the xy-coordinate system, the distance between points \((2\sqrt{3}, \ -\sqrt{2})\) and \((5\sqrt{3}, \ 3\sqrt{2})\) is approximately

A. 4.1
B. 5.9
C. 6.4
D. 7.7
E. 8.1

Kudos for a correct solution.


Distance = sqrt[(3sqrt(2) + sqrt(2))^2+ (5sqrt(3) - 2sqrt(3))^2
= sqrt[4sqrt(2) + 3 sqrt(3)]
= sqrt(59)
Now, 7^2 = 49 and 8^2 = 64
So, answer lies between 7 and 8,
Hence option (D).

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Re: In the xy-coordinate system, the distance between points  [#permalink]

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New post 28 Dec 2017, 22:36
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Re: In the xy-coordinate system, the distance between points &nbs [#permalink] 28 Dec 2017, 22:36
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