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What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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23 May 2018, 22:47
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Re: What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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24 May 2018, 00:12
Bunuel wrote: What is the area of the triangle formed by the lines y = 2x − 6, x = 9, and y = 0?
A. 21 B. 27 C. 36 D. 48 E. 54 If \(0=2x6\), then \(x=3\). So, the base of the triangle is \(93=6\). If \(x=9\), then \(y=2*96=12\) So, the height of the triangle is \(12\). \(S=0.5*6*12=36\). Answer: C
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Re: What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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24 May 2018, 01:14
Solution Given:• The equations of the lines forming the triangle are o y = 2x – 6 o x = 9 o y = 0 To find:• The area of the triangle formed by the three lines Approach and Working: If we solve the three equations by taking two at a time, we can get the vertices as (3, 0), (9, 0), and (9, 12) • Distance between (3, 0) and (9, 0) = 6 units • As the xcoordinates of the points (9, 0) and (9, 12) are same, the distance between these two points indicate the height of the triangle • Hence, the area of the triangle = ½ * 6 * 12 sq. unit = 36 sq. unit Hence, the correct answer is option C. Answer: C
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Re: What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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22 Jul 2018, 02:22
Tulkin987 wrote: Bunuel wrote: What is the area of the triangle formed by the lines y = 2x − 6, x = 9, and y = 0?
A. 21 B. 27 C. 36 D. 48 E. 54 If \(0=2x6\), then \(x=3\). So, the base of the triangle is \(93=6\). If \(x=9\), then \(y=2*96=12\) So, the height of the triangle is \(12\). \(S=0.5*6*12=36\). Answer: C Bunuel why when it comes to base we need to make subtraction between two values \(93=6\) but when it comes to calculating height we dont do any similar subtraction ?
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Re: What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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30 Jul 2018, 23:33
EgmatQuantExpert wrote: Solution Given:• The equations of the lines forming the triangle are o y = 2x – 6 o x = 9 o y = 0 To find:• The area of the triangle formed by the three lines Approach and Working: If we solve the three equations by taking two at a time, we can get the vertices as (3, 0), (9, 0), and (9, 12) • Distance between (3, 0) and (9, 0) = 6 units • As the xcoordinates of the points (9, 0) and (9, 12) are same, the distance between these two points indicate the height of the triangle • Hence, the area of the triangle = ½ * 6 * 12 sq. unit = 36 sq. unit Hence, the correct answer is option C. Answer: CCan you explain this problem in detail?
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Re: What is the area of the triangle formed by the lines y = 2x − 6, x = 9
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31 Jul 2018, 01:29
Seryozha wrote: EgmatQuantExpert wrote: Solution Given:• The equations of the lines forming the triangle are o y = 2x – 6 o x = 9 o y = 0 To find:• The area of the triangle formed by the three lines Approach and Working: If we solve the three equations by taking two at a time, we can get the vertices as (3, 0), (9, 0), and (9, 12) • Distance between (3, 0) and (9, 0) = 6 units • As the xcoordinates of the points (9, 0) and (9, 12) are same, the distance between these two points indicate the height of the triangle • Hence, the area of the triangle = ½ * 6 * 12 sq. unit = 36 sq. unit Hence, the correct answer is option C. Answer: CCan you explain this problem in detail? hi there Seryozha i myself was stumped by this question but figured it out finally how it is solved we have following data y = 2x − 6, x = 9, and y = 0 1. lets find height of triangle to do this you plug in x = 9 into y = 2x − 6 so we have y = 2 (9) − 6 = 12 so we know that height is y = 12 , now lets find x; to do this set y=0 > 0 = 2x − 6 > 2x=6 > x =3 so we have now coordinate of one point (12;3) where 12 is height of triangle now we need to find base as you see we are already given that x = 9 and y = 0 , hence this is a another point (9;0) to find area of triangle 1/2 *base*height > 1/2*6*12 = 36 see attached a diagram cheers
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