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snow_tiger [21]
3 years ago
7

If the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle? A) x2 +

(y + 2)2 = 36 B) x2 + (y + 2)2 = 52 C) x2 + (y − 2)2 = 36 D) x2 + (y − 2)2 = 52

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

  D)  x² + (y − 2)² = 52

Step-by-step explanation:

The center of the circle is the midpoint of the diameter, so is the average of the end points:

  (h, k) = ((-6, 6) +(6, -2))/2 = (0, 4)/2 = (0, 2)

Then the distance between the center and an end point is the radius. It is found using the distance formula:

  r = √((x2 -x1)² +(y2 -y1)²) = √((-6 -0)² +(6 -2)²) = √(36 +16) = √52

Putting these values into the standard form equation for a circle ...

  (x -h)² +(y -k)² = r²

gives ...

  (x -0)² +(y -2)² = (√52)²

  x² +(y -2)² = 52 . . . . . matches choice D

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n=42, m=42\sqrt{3}

Step-by-step explanation:

The side opposite the 30° angle is half the size of the hypotenuse. So, 84/2=42. Now, the side opposite the 60° angle is shown as 84/2 · \sqrt{3}, which is the same as 42√3.

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So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

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3 years ago
Need help / easy please
vodomira [7]

Answer:

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Step-by-step explanation:

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3 years ago
A mallard duck is 56 to 65 cm long if the duck travel 97.8 miles at top speed in 1.5 hours how far did it travel in 1 hour
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2 years ago
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Answer:

In 3 - 5:  

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In 5 - 3:

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Step-by-step explanation:

Category : 3 - 5

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