Posted by tiona on Thursday, November 10, 2011 at 1:06am.
Given the equation x^2 +y^2+8y65=0
(a) Write the equation in standard form.
(b) State the center, radius, and intercepts.
(c) Submit the graph

math  Jai, Thursday, November 10, 2011 at 6:56am
(a)
to write this in standard form, you use completing the square for both variables x and y.
x^2 + y^2 + 8y  65 = 0
x^2 + (y^2 + 8y + 16)  65  16 = 0
x^2 + (y + 4)^2  81 = 0
x^2 + (y + 4)^2 = 81
x^2 + (y + 4)^2 = 9^2
(b)
Center: C(0, 4)
Radius = 9
to get intercepts,
xintercept: let y=0 and solve for x
yintercept: let x=0 and solve for y
(c)
with center and radius known, you can graph this on a graphing paper. use a compass to draw the circle.
hope this helps~ :)
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