The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^r
H and k are the x and y coordinates of the center of the circle and r is the radius.
You are given the diameter coordinates so find the halfway point for the center then calculate the radius
Midpoint = (x1 +x2)/2, (y1 + y2)/2
Midpoint = (7 + -1)/2, (-3 +7)/2
Midpoint = 6/2, 4/2
Midpoint = 3,2
So h = 3 and k = 2
Now find radius by finding the distance between the center point and an end point.
Distance = sqrt(41)
Equation of the circle:
(X-3)^2 + (y-2)^2 = 41
credits to the owner:lisboa, another brainly expert
Let n be the number of times she walked around the pond
(3 3/8) / (3/8) = n
=> 9 = n
Vanessa walked around the pond 9 times
9514 1404 393
Answer:
the lines are perpendicular
Step-by-step explanation:
You can tell something by looking at the differences of coordinates:
B-A = (6-2, -11-5) = (4, -16) . . . . . Δy/Δx = -16/4 = -4
D-C = (-1-3, 9-10) = (-4, -1) . . . . . Δy/Δx = -1/-4 = 1/4
The product of the slopes of these lines is (-4)(1/4) = -1, so ...
the lines are perpendicular
Answer: 27
Step-by-step explanation: Look below for an attached explanation.
Hope this helps!