Find the center, radius, and intercepts of the circle given below and then sketch the graph of the circle. x²+(y-1)^2=1

Center (0, 1)

Radius 1

x-intercept (0, 0)

y-intercept (0, 0), (0, 2)

Step-by-step explanation:

(1) A circle that has center (a, b) and radius r can have the equation as below:

(x - a)^2 + (y - b)^2 = r^2

Re-write the original equation: x^2 + (y - 1)^2 = 1, we have:

(x - 0)^2 + (y - 1)^2 = 1^2

=> The center of this circle: (a, b) = (0, 1) and the radius r = 1

(2) To find out the x-intercept, we substitute y = 0 into original equation.

=> x^2 + (0 - 1)^2 = 1

=> x^2 + 1 = 1

=> x^2 = 0

=> x = 0

=> x-intercept (0, 0)

(3) To find out the y-intercept, we substitute x = 0 into original equation.

=> 0^2 + (y - 1)^2 = 1

=> (y - 1)^2 = 1

=> y - 1 = -1 or y - 1 = 1

=> y = 0 or y = 2

=> y-intercept (0, 0) and (0, 2)

Hope this helps!

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer