The circle below is centered at the origin, and the length of its radius is 7. what is the circle's equation. a. 7x+7y=49. b. x^2+y^2=49. c. x^2+y^2=14.

The equation of a circle is   .

Option (B) is correct .

Step-by-step explanation:

The general equation of a circle is given by

Where (h,k) are the centre of the circle  r is the radius of a circle.

As given

The circle is centered at the origin, and the length of its radius is 7.

(h,k) = (0,0)

r² = 49

Put in the equation of a circle.

Therefore the equation of a circle is   .

Option (B) is correct .

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !