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Katena32 [7]
4 years ago
12

What is the equation of a circle that has a diameter with endpoints (3, -2) and (-7, 8)?

Mathematics
1 answer:
Illusion [34]4 years ago
7 0
The center is the midpoint of the given diameter,
  ((3, -2) +(-7, 8))/2 = (-2, 3)

The radius is the distance from that to either end,
  √(5^2 +5^2) = 5√2

In standard form, the circle's equation is
  (x +2)² +(y -3)² = 50

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A special Olympic event has 16 more boys than girls competing. The total number of participants is 1000. How many boys completed
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x= the number of girls competing

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The equation to find the number of boys and girls competing would be:

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First, combine like terms:

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Subtract 16 from both sides.

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Divide both sides by 2:

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We know now that the number of girls competing is 492. To find the number of boys competing, you simply have to add 16 to 492.

492+16=508

There are 508 boys competing and 492 girls competing.

I hope this helps :)

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