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

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

26 Dec 2009, 17:11

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Question Stats:

42% (02:10) correct

57% (00:26) wrong

based on 3 sessions

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

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Re: Distance Question [#permalink]

26 Dec 2009, 17:25

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 for notes: 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

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Re: Distance Question [#permalink]

26 Dec 2009, 23:58

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
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Re: Distance Question [#permalink] 26 Dec 2009, 23:58

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

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

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