Which description best defines mn¯¯¯¯¯¯¯ ? the set of point m, point n, and all the points between point m and point n the set of all points that are collinear with point m and point n the set containing point m and point n the set of all points that are the same distance from point m as point n

the set of point M, point N, and all the points between point M and point N

We assume you're interested in a description of line segment MN, the portion of the line containing M and N that has endpoints M and N. That description is found in "" above.

Other choices:

... all collinear points: describes line MN, not segment MN

... point M and point N: describes two points, not a line segment

... points the same distance from each: describes the line that is the perpendicular bisector of segment MN

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.