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inessss [21]
3 years ago
6

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2

+ (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Mathematics
2 answers:
Neporo4naja [7]3 years ago
7 0

Answer:

A & E

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

olga55 [171]3 years ago
3 0

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

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