The number of students in a chess club decreased from 17 to 10. What is

Mathematics

1 answer:

Svetllana [295]2 years ago

6 0

Answer:

41.18%

Step-by-step explanation:

Initial number = 17
Final number = 10

Decrease in number:

17 - 10 = 7

Percent decrease:

7/17*100% = 41.18% (rounded)

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Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

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Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

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Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$