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FromTheMoon [43]
3 years ago
7

Please help! A circle is centered at (−4, −6) and has a radius of 3. Which of the following is the equation for this circle?

Mathematics
1 answer:
lubasha [3.4K]3 years ago
8 0

General equation of a circle is

(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = radius. so here we have a = -4 and b = -6 and r^2 = 3^2 = 9

Therefore the equation of the required circle is

(x + 4)^2 + (y + 6)^2 = 9

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Mrs.Zomoro is 36 years old and her son is 4.When will the mother be thrice as o old as her son?​
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Answer:

12 years

Step-by-step explanation:

Represent the mother's age by m and the son's by 4.  Currently m = 36 years old.

In x years the mother will be three times as old as her son:

mother:  36 + x years old

son:  4 + x years old

The pertinent equation to solve is:

36 + x = 3(4 + x)

Performing the multiplication, we get:

36 + x = 12 + 3x, or

24 = 2x.  Then x = 12.

Check:  In 12 years, will the mother's age be 3 times the son's age?

Does 36 + 12 = 3(4 + 12)?

Does    48      = 48?  YES

The mother will be 3 times as old as her son in 12 years from now.

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<h2>stay safe healthy and happy.</h2>
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