(30 points) what are the y intercepts of the circle whose equation is (x+2)^2+(y-4)^2=13? a. 1 and 7 b. 4 plus or minus radical 17 c. there are no y intercepts !

Hello from MrBillDoesMath!

 Choice C

Discussion:

The y-intercepts are the x values where y = 0.   Substituting y = 0 in the equation gives

(x+2)^2 +  (0-4)^2 = 13 =>

(x+2)^2 + 16 = 13 =>

Subtract 16 from both sides

(x+2)^2 = 13 - 16 = -3     (*)

The square of a real number is greater than or equal to 0. (Not true for complex numbers). The left side of (*) is therefore >= 0 but as also equals -3. This is not possible so there is no solution to the equation. Choice C.

Thank you,

MrB

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?

heyyy

step-by-step explanation: