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Ira Lisetskai [31]
3 years ago
6

Write an equation of the circle with center (3, -6) and radius 5.

Mathematics
2 answers:
pav-90 [236]3 years ago
4 0

answer

(x-3)^2 + (y+6)^2 = 25

set up equation

the equation of a circle is (x - centerx)^2 + (y - centery)^2 = r^2

values

from the point (3,6) we know that centerx = 3 and centery = -6

since the radius is 5, r^2 = 5^2 = 25

plug in values

now that we have all the values, we plug them into (x - centerx)^2 + (y - centery)^2 = r^2

(x - centerx)^2 + (y - centery)^2 = r^2

(x - 3)^2 + (y-(-6))^2 = 25

(x-3)^2 + (y+6)^2 = 25

lesya692 [45]3 years ago
3 0

Answer:

formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3)^2 + (y-(-6))^2 = r^2

2. Plug in radius value

(x-3)^2 + (y-(-6))^2 = 5^2

3. Simplify:

(x-3)^2 + (y+6)^2 = 25

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A drainage basin bordering the sea has an area of 7500 km2 . The average precipitation for this drainage basin is 900 mm year-1
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Answer with Step-by-step explanation:

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Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

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B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

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Here are the 13 numbers that are greater than 12 that satisfy event B:

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Here are the 4 numbers that satisfy both event A and event B:

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p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

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