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A, B, C, and D are four points on the same straight line....
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15 Dec 2017, 10:10
15 Dec 2017, 10:10
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Question Stats:
75% (02:11) correct
25% (02:24) wrong based on 4 sessions
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A, B, C, and D are four points on the same straight line. The distances between the successive points are equal. If A is (1, -3), C is (4, a), and D is (b, 5). Find the values of a and b.
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
Re: A, B, C, and D are four points on the same straight line....
[#permalink]
15 Dec 2017, 11:18
15 Dec 2017, 11:18
2
Expert Reply
okayimbad wrote:
A, B, C, and D are four points on the same straight line. The distances between the successive points are equal. If A is (1, -3), C is (4, a), and D is (b, 5). Find the values of a and b.
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
<----A(1, -3)----B----C(4, a)----D(b, 5)---->
How do I solve this question and what are the answers of a and b?
Source: HAESE MATHEMATICS Mathematics for the international student 10E MYP 5 (extended)
Hello,
We explicitly solve GRE questions on this forum. And this is not one or at the very least not formattted like one.
That being said,
You have two variables a and b. among the points. Now since they are on the same line so you can write equations for slope
Slope AC = Slope AD = \(\frac{a+3}{3}=\frac{8}{b}\).
Also points are equidistant AB = BC = CD.
So you can write something line AC=2 * CD. So distance equation gives the second equation.
Solve then for a and b.
Regards,
Sandy
gmatclubot
Re: A, B, C, and D are four points on the same straight line.... [#permalink]
15 Dec 2017, 11:18
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