Please help, I'm confused.
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Write the general equation for the circle that passes through the points (-5,0), (0,4), and (2,4).

(x − 1)² + (y + 19/8)² = 2665/64

Step-by-step explanation:

General equation of a circle is:

(x − h)² + (y − k)² = r²

If we plug in the three points:

(-5 − h)² + (0 − k)² = r²

(0 − h)² + (4 − k)² = r²

(2 − h)² + (4 − k)² = r²

Simplifying:

(-5 − h)² + k² = r²

h² + (4 − k)² = r²

(2 − h)² + (4 − k)² = r²

If we subtract the second equation from the third:

(2 − h)² − h² = 0

4 − 4h + h² − h² = 0

4 − 4h = 0

h = 1

Plugging into the first two equations:

(-5 − 1)² + k² = r²

1² + (4 − k)² = r²

Simplifying:

36 + k² = r²

1 + (4 − k)² = r²

Subtracting the two equations:

1 + (4 − k)² − (36 + k²) = 0

1 + 16 − 8k + k² − 36 − k² = 0

-8k − 19 = 0

k = -19/8

Plugging into the first equation to find r²:

(-5 − 1)² + (-19/8)² = r²

36 + 361/64 = r²

2665/64 = r²

Therefore, the general equation is:

(x − 1)² + (y + 19/8)² = 2665/64

Graph:

desmos.com/calculator/6jeelftov8

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.