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Anit [1.1K]
3 years ago
9

Given that A(2, 1) and B(9, 25) are points on a graph. USE THIS INFORMATION TO ANSWER QUESTIONS 14 TO 16

Mathematics
1 answer:
Scrat [10]3 years ago
8 0

Answer:

<h3><u>required</u><u> </u><u>answer</u><u>:</u><u>-</u></h3>
  • A (2,1)
  • B (9,25)

{:}\leadsto\sf AB=\sqrt {(x_2-x_1)^2+(y_2-y_1)^2}

{:}\leadsto\sf \sqrt {(9-2)^2+(25-1)^2}

{:}\leadsto\sf \sqrt {(7)^2+(24)^2}

{:}\leadsto\sf \sqrt {49+576}

{:}\leadsto\sf \sqrt {625}

{:}\leadsto\sf AB=25cm

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Answer:

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Step-by-step explanation:

The given statement is the scale factor:

  \dfrac{\text{scale distance}}{\text{actual distance}}=\dfrac{1\text{ cm}}{2\text{ m}}

This can be rearranged to the formula ...

  \text{actual distance}=\text{(scale distance)}\dfrac{2\text{ m}}{1\text{ cm}}

Filling in the given scale distances, you find the actual distances to be ...

  \textbf{(a) }(14\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=14\cdot2\text{ m}=28\text{ m}\\\\\textbf{(b) }(7.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=7.5\cdot2\text{ m}=15\text{ m}\\\\\textbf{(c) }(12.4\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=12.4\cdot2\text{ m}=24.8\text{ m}\\\\\textbf{(d) }(0.5\text{ cm})\dfrac{2\text{ m}}{1\text{ cm}}=0.5\cdot2\text{ m}=1.0\text{ m}\\\\

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