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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The distance from the X-axis to point P is half the distance

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Intern  Joined: 02 Oct 2008
Posts: 47
The distance from the X-axis to point P is half the distance  [#permalink]

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8 00:00

Difficulty:   45% (medium)

Question Stats: 63% (01:33) correct 37% (01:30) wrong based on 452 sessions

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The distance from the X-axis to point P is half the distance from the y-axis to point P. if the coordinates of P are (x,-7), how many units is P from the y-axis?

A. 3.5
B. 7
C. 9.8
D. 10.5
E. 14
Math Expert V
Joined: 02 Sep 2009
Posts: 65290

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tania wrote:
The distance from the X-axis to point P is half the distance from the y-axis to point P. if the coordinates of P are (x,-7), how many units is P from the y-axis?

A. 3.5
B. 7
C. 9.8
D. 10.5
E. 14

The ans is E.

Can someone explain me this problem?

Couple of things: when we talk about the distance from the point to the line (any line including x and y-axis), the distance means the shortest distance, which is the length of the perpendicular from the point to the given line.

Back to the question. The point x has the coordinates (x,-7), which means that it's somewhere on the line y=-7. Hence the distance from this point to the X-axis is 7 units.

As the distance from the point to X-axis is half of the distance from it to the Y-axis, then the distance from it to the Y-axis is 7*2=14.

Hope it's clear.
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Manager  Joined: 09 May 2009
Posts: 139

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2
P=(x,-7)
---> dis from pt. P to x axis=7 units
& dis from pt P to Y axis =x units

as per Q

The distance from the X-axis to point P = half the distance from the y-axis to point P
--->7=1/2*(x)
or x=7*2=14 units
Manager  Joined: 18 Oct 2013
Posts: 66
Location: India
Concentration: Technology, Finance
GMAT 1: 580 Q48 V21
GMAT 2: 530 Q49 V13
GMAT 3: 590 Q49 V21
WE: Information Technology (Computer Software)
Re: The distance from the X-axis to point P is half the distance  [#permalink]

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Easy one to achieve.

According to condition distance from x-axis= 0.5(distance from y-axis) and P is (x,-7) which means distance from x-axis P is always 7 unit far.
Simply ask what is the distance from y so that 2x=y?

So, Distance from y=14.

No calculation just mind work.
Manager  Joined: 18 Oct 2013
Posts: 66
Location: India
Concentration: Technology, Finance
GMAT 1: 580 Q48 V21
GMAT 2: 530 Q49 V13
GMAT 3: 590 Q49 V21
WE: Information Technology (Computer Software)
Re: The distance from the X-axis to point P is half the distance  [#permalink]

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Easy one to achieve.

According to condition distance from x-axis= 0.5(distance from y-axis) and P is (x,-7) which means distance from x-axis P is always 7 unit far.
Simply ask what is the distance from y so that 2x=y?

So, Distance from y=14.

No calculation just mind work.
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Re: The distance from the X-axis to point P is half the distance  [#permalink]

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x is either 14 or -14, thus we know that the distance from y axis is |14| or 14. E
Non-Human User Joined: 09 Sep 2013
Posts: 15431
Re: The distance from the X-axis to point P is half the distance  [#permalink]

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_________________ Re: The distance from the X-axis to point P is half the distance   [#permalink] 04 Jul 2018, 07:12

# The distance from the X-axis to point P is half the distance  