Find the intercepts of the circle. Round to the nearest hundredth, when necessary.
-$$x ^ { 2 } + y ^ { 2 } = 9$$
A)The x-intercept is x = 9, and the y-intercept is y = 9.
B)The two x-intercepts are x = 9 and x = -9, and the two y-intercepts are y = 9 and y = -9.
C)The two x-intercepts are x = 3 and x = -3, and the two y-intercepts are y = 3 and y = -3.
D)The x-intercept is x = 3, and the y-intercept is y = 3.

Question

Quizplus · Accepted Answer

The equation $x^2 + y^2 = 9$ represents a circle centered at the origin (0,0) with a radius of 3. To find the x-intercepts, set $y = 0$ and solve for $x$, which gives $x = \pm3$. To find the y-intercepts, set $x = 0$ and solve for $y$, which also gives $y = \pm3$.

Find the Intercepts of the Circle x2+y2=9x ^ { 2 } + y ^ { 2 } = 9x2+y2=9

Find the Intercepts of the Circle $x ^ { 2 } + y ^ { 2 } = 9$