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Identify the center and radius of the circle with the following equation: [tex]\displaystyle(x+3)^2+(y+\frac{3}{2})^2=4[/tex]

Respuesta :

Wolfyy

Hey there,

The equation is already written in circle equation form but if needed, here is what it will look like when it isn't simplified.

(x - (-3))² + (y - (-3/2))² = 2²

With this, the circle has a center at (-3, -3/2) and a radius of 2.

Best of Luck!

Step-by-step explanation:

Hey there!

Given;

The equation of a circle is:(X+3)² + (y+3/2)² = 4.

Comparing the equation with (x-h)²+(y-k)² = r², we get;

Centre (h,k) = (-3,-3/2)

Radius (r) = 2 units.

Hope it helps!