Suppose (9, 14) and (3, −10) are the endpoints of a diameter of a circle. What is the equation of the circle?

The equation of circle is + = 153

Step-by-step explanation:

Given the endpoints of a diameter of a circle: (9,14) and (3,-10)

We know that the equation of a circle is

+ =

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(   ,  )

(   ,  )

(6,2)

Hence (h,k) is (6,2)

Substituting values of (h.k) and (x.y) as (6,2) and (9,14) respectively in equation of circle, we get

+ =

= 153

Substituting the values of (h,K) and  , we get the equation of circle as

+ = 153

Hence the equation of circle is + = 153

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

a negative exponent is translated as follows:

so, we have