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In the rectangular coordinate system above, if point R (not
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27 Dec 2012, 05:18
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92% (00:52) correct 8% (00:49) wrong based on 1189 sessions
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In the rectangular coordinate system above, if point R (not shown) lies on the positive yaxis and the area of triangle ORP is 12, what is the ycoordinate of point R? (A) 3 (B) 6 (C) 9 (D) 12 (E) 24
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Re: In the rectangular coordinate system above, if point R (not
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27 Dec 2012, 05:22
In the rectangular coordinate system above, if point R (not shown) lies on the positive yaxis and the area of triangle ORP is 12, what is the ycoordinate of point R?(A) 3 (B) 6 (C) 9 (D) 12 (E) 24 We are told that point R is above zero on the yaxis, so its coordinates are (y,0): Attachment:
OPR2.png [ 6.1 KiB  Viewed 19177 times ]
The area of triangle OPR is 1/2*base*height=1/2*OP*OR=1/2*4*OR=12 > OR=6. Answer: B.
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Re: In the rectangular coordinate system above, if point R (not
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13 Jul 2016, 06:43
Walkabout wrote: Attachment: OPR.png In the rectangular coordinate system above, if point R (not shown) lies on the positive yaxis and the area of triangle ORP is 12, what is the ycoordinate of point R? (A) 3 (B) 6 (C) 9 (D) 12 (E) 24 We are given that a triangle is created using the x and yaxes of the coordinate plane. The vertices of the triangle fall at point P (4,0), the origin (0,0), and point R (0,y). We see that we do not know the ycoordinate of point R. We can sketch it, as follows: Given that one vertex falls on point (4,0) and the other vertex on point (0,0), we see that our base is equal to 4. We are also given that the area of the triangle is 12. Using the formula for the area of a triangle and substituting the known values, we obtain: area = (base x height)/2 12 = (4 x height)/2 24 = 4 x height 6 = height The information above tells us that the distance between the origin and point R (which is on the yaxis) is 6. Thus, the ycoordinate of point R is 6. The answer is B.
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Re: In the rectangular coordinate system above, if point R (not
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01 Feb 2017, 21:42
Hi @Bunnel, Is it correct to say that the reason why we don't need to use the 'distance between 2 points' formula to get the base in this exercise is because the 2 points lay on the coordinate lines, and not on the coordinate plane? Thanks!
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Re: In the rectangular coordinate system above, if point R (not
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02 Feb 2017, 04:55
diegocml wrote: Hi @Bunnel,
Is it correct to say that the reason why we don't need to use the 'distance between 2 points' formula to get the base in this exercise is because the 2 points lay on the coordinate lines, and not on the coordinate plane? Thanks! We can get the length of OP without the formula but you'd get the same result even if you use it. The fact that OP is on xaxis does not mean that it's not on a plane.
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Re: In the rectangular coordinate system above, if point R (not
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12 May 2017, 03:28
I picked the trap answer A here Once I drew the right angle Triangle and saw 4 as one of the side  Thanks to repeating 345  I wrongly concluded the other two sides as 3 and 5. To top it up 4*3 = 12 which is there in the stem as well, just to give a false sense of security! Sometimes when we rush to get to an answer, we so easily fall into a neatly laid out trap  Just for us! Walkabout wrote: Attachment: OPR.png In the rectangular coordinate system above, if point R (not shown) lies on the positive yaxis and the area of triangle ORP is 12, what is the ycoordinate of point R? (A) 3 (B) 6 (C) 9 (D) 12 (E) 24
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Re: In the rectangular coordinate system above, if point R (not
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04 Jun 2017, 00:34
The y coordinate will be (Y,0)
X coordinate of the triangle is 4,0
Base =4
1/2*4*h=12
h=6
Answer B



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Re: In the rectangular coordinate system above, if point R (not
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30 Jun 2017, 13:29
Attachment: OPR.png In the rectangular coordinate system above, if point R (not shown) lies on the positive yaxis and the area of triangle ORP is 12, what is the ycoordinate of point R? \(Area = \frac{1}{2} * Base * Height\) \(12 = \frac{1}{2} * Base (OP) * Height (OR)\) \(12 = \frac{1}{2} * 4 * OR\) \(12 = 2 * OR\) \(OR = 6\) As OR lies on Y axis, coordinates of point R will be \((0,6)\) Hence, \(y coordinate = 6\) Hence, Answer is B
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Re: In the rectangular coordinate system above, if point R (not
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Re: In the rectangular coordinate system above, if point R (not
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