Question

Draw a graph of the circle with equation x²+y²=9.What are the solutions to the system of circle and line when the circle is given by x²+y²=9, and the line is given by y=2?

Answer 1

Answer:

(-2.23606, 2) and (2.23606, 2)

Step-by-step explanation:

$x^2+y^2=9$

$y=2$

The circle has its center situated at the origin and radius of 3 units

Applying the value of y to the first equation

$x^2+2^2=9$

$\Rightarrow x^2=9-4$

$\Rightarrow x^2=5$

$\Rightarrow x=\sqrt{5}$

$\Rightarrow x=\pm 2.23606$

So, the points where the line will intersect the circle is (-2.23606, 2) and (2.23606, 2)