A: The center is the mid point of the diameter. So, the center of the circle will be the midpoint of points P and Q. The coordinates of the midpoint are the averaged coordinates of the endpoints.
So, the x-cooardinate of the center is the average of the x-coordinates of P and Q:
Try to do the same thing with the y coordinates, and you'll get the y-coordinate . This first part will be over, because the circle will be point
B: The radius is exactly half the diameter. So, we find the length of the diameter, and we divide it by 2. To find the length of the diameter, we use the standard formula for the distance between two points:
Divide this length by 2 and you'll get the radius.
C: At this point, we have both the radius and the coordinates of the center. The equation of the circle depends on these two parameters, and it is
Substitute and with the coordinates of the center (found in point A.) and with the radius (found in point B.) and you'll have the equation of the circle.
Answer:
-7/4
Step-by-step explanation:
Recall that slope, m, is defined as the ratio rise to run: rise/run.
Note that if we start at x = -2 (an arbitrary choice), and move 6 units to the right, we end up at x = 4. This is the 'run.' Simultaneously, y starts at 1 and decreases to - 6, a change of -7.
Thus, the slope of the line through these two points is m = rise/run = -7/4
(16/18)
(24/27)
You just times 8 and 9 by the same number, like:
(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)
You could do any number:
(8•100/9•100)=(800/900)
Answer:
Step-by-step explanation:
bisects and .
Solve for m.
Subtract 3m from both sides.
Divide both sides by 3.
Calculate .
Put m = 7.