The circle graphed with the equation x² + y² = 2.25 is the circle C
The solutions are (0.44, 1.44) and (-1.44, -0.44)
Determining the circle graphed with the equation
From the question, we have the following parameters that can be used in our computation:
The circles
Where, we have the following properties about the circle C
Center = (a, b) = (0, 0)
Radius, r = 1.5 units
The equation of the circle C is represented as
(x - a)² + (y - b)² = r²
Substitute the known values into the equation
(x - 0)² + (y - 0)² = 1.5²
Evaluate
x² + y² = 2.25
Hence, the equation of the circle C is x² + y² = 2.25
Next, we plot the two equations
x² + y² = 2.25 and y - x = 1
The solution is the point of intersection
In ths case, the points are (0.44, 1.44) and (-1.44, -0.44)