standard_description: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x^(2 )+ y^(2) = 3.
problem_activity: Problem 1
Circles
$$A$$
and
$$C$$
are shown below.
[IMG]
Write an equation that describes each of the circles.
Problem 2
Write the equation of a circle whose diameter has endpoints of
$$(-8, 2)$$
and
$$ (2, 2)$$
.
Problem 3
Describe how you could prove that circle
$$A$$
is similar to circle
$$B$$
.
[IMG]


aligns: no