Discuss how to convert the standard form of the equation of a circle to the general form.

Explanation:

The standard form of the equation of a circle is ...

  (x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r

The general form of the equation of a circle will be ...

  Ax² +Bxy +Cy² +Dx +Ey +F = 0 . . . . . A = C for a circle

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The former is converted to the latter by eliminating parentheses, subtracting r² and collecting terms.

  x² +y² -2hx -2ky +(h² +k² -r²) = 0

This shows you that ...

  A = C = 1

  B = 0

  D = -2h

  E = -2k

  F = h² +k² -r²

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In general form, we like to have the coefficients be mutually prime integers and the leading coefficient be positive. That is not always possible, depending on the circle being represented.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

you