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koban [17]
3 years ago
8

The table shows the volume of water in cubic meters, V, in a tank after water has been pumped out after water has been pumpee ou

t for a certain number of minutes. Which ewuation could represent the volume of water in cubif meters after T minutes of water being pumped out
​
Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

(0,3)

Step-by-step explanation:

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A (4,8)  and   b (7,2)   and   let  c (x,y)

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<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
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∴ 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
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substitute by (y-2) from equation (1) at </span><span>equation (2)
4 * 45 = 5 (x-7)²
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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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