At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
The general form of the equation of a circle is Ax2 + By2 + Cx + Dy + E = 0, where A = B 0. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle? a)A = 0, B = 0, C = 2, D = 2, and E = 3 b)A = 1, B = 1, C = 8, D = 0, and E = 9 c)A = 1, B = 1, C = 0, D = -8, and E = 7 d)A = 1, B = 1, C = -8, D = 0, and E = 0 e)A = 1, B = 1, C = 8, D = 8, and E = 3
if we write the equation of a circle as x^2 + y^2 + 2gx + 2fy + c = 0 then the center is (-g,-f) and the radius is sqrt(g^2 + f^2 - c) note there are no numbers before the x^2 and y^2 in the equation of a circle.
so for your circle you can see that A = 1 and B = 1
sorry im horrible at math. so do you substitute A and B for X and Y? and D and E for G and F?
if we write the 2 equations together we can compare x^2 + y^2 + 2gx + 2fy + c = 0 Ax^2+ By^2 + Cx + Dy + e = 0 can you see that A and B = 1?
note x^2 is same as 1x^2
ok, so would the answer be B?
we dont know that yet we need to find C D and E the center is at (0,4) meaning x = 0 and y = 4 if we compare this with (-g,-f) we see that -g = 0 so C =0 Follow?
and in the case of y = 4 , -f = 4 so f = -4 and 2f = -8 making D = 2f = -8
now to work out e(which = c) we need to solve radius r = sqrt(g^2 + f^2 - c) 3 = sqrt(0^2 + (-4)2 - e)
9 = 16 - e
so find e and you have your result
oh so its C. thank you for showing me how to do it
yes e = 7 so its C
by writing the 2 equations together we can see that C - 2g , D = 2f and E = c
- that's called comparing coefficients
thank you =D