Question

Укажіть координати центра і радіус кола, яке задане рівнянням: a)(x–1)2+y2=9; ПОЖАЛУЙСТА СРОЧНО!!!

Answer 1

$(x - 1) {}^{2} + y {}^{2} = 9 \longrightarrow \: (x - 1) {}^{2} + (y - 0) {}^{2} = 3 {}^{2} \longrightarrow$

Ответ: координаты центра – (1; 0), r=3.

Answer 2

Equation of the Circle

The equation given is (x-1)^2 + y^2 = 9. This equation represents a circle with its center at the point (1, 0) and a radius of 3 units.

To determine the center and radius of a circle from its equation, we can use the standard form of the equation of a circle: (x - h)^2 + (y - k)^2 = r^2. Here, (h, k) represents the coordinates of the center of the circle, and r represents the radius.

Comparing the given equation to the standard form, we can see that the center of the circle is at (1, 0) and the radius is 3 units.

Therefore, the coordinates of the center of the circle are (1, 0), and the radius is 3 units.

I hope this helps! Let me know if you have any further questions.