1.9 Distance and Midpoint Formula; Circles

The distance between A(3,1) and B(-2,-1) written correctly is: #1

Find the distance between the points (4, 3) and (0,6). #2

Find the distance between the pair of points R(-4, 1) and F(0, -2). #6

What is the midpoint between (3, -1) and (8, -6)? #12

Find the midpoint of the line segment joining the points P1 and P2. #13

P1 = (-4, -3); P2 = (2, 2)

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14). #15

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x² + y² = r².

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

#22

What are the coordinates of the center and the radius of the circle with the equation:

(x - 4)² + (y - 3)² = 25 ? #23

What is the equation of the circle, with center (-2,-7) and radius 3 units? #24

Which graph corresponds to

x²+ (y-6)²=9? #26

Which graph corresponds to

(x-4)²+ (y+4)²=25? #27

What is the center of a circle whose equation is x² + y² – 12x – 2y + 12 = 0? #29

Change the following equation to standard form

x²+y²-4x+12y-8=0. #34