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Molodets [167]
3 years ago
14

Correct answer's only (Highlighted due to glitch) But please help.

Mathematics
1 answer:
andrew-mc [135]3 years ago
3 0
The easiest way is to plug x=-4, y=-1 in the equation to see which one works.
8(-4)-9(-1)=-23
B is correct.
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3 years ago
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PLZ HELP ASAP DIVIDE LINE SEGMENTS
Yuri [45]
A (4,8)  and   b (7,2)   and   let  c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7)    ⇒⇒⇒ equation (1)

<span>The distance between two points (x₁,y₁),(x₂,y₂) = d
d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }</span>


The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
2 * \sqrt{ (7-4)^{2} + (2-8)^{2} } = <span>3* \sqrt{ (x-7)^{2} +(y-2)^{2} }
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)²  ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at </span><span>equation (2)
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solve for x
∴ x = 9  or  x = 5
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The point will be (9,-2)  or   (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

See the attached figure for more explanations
</span>


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I'll choose, -5x+y=-3
So, -5x+(-3)=-3
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