Consider a circle with center (8,-4) that passes through the point (10,6). What is the equation of the described circle?
A) (x - 8)^2 + (y + 4)^2 = 104
B) (x - 8)^2 + (y + 4)^2 = 200
C) (x + 8)^2 + (y - 4)^2 = 104
D) (x + 8)^2 + (y - 4)^2 = 200

If the circle passes through the point (9,5), what is the equation of the new circle with the same center?
A) (x + 8)^2 + (y - 4)^2 = 178
B) (x + 8)^2 + (y - 4) ^2 = 82
C) (x - 8)^2 + (y + 4)^2 = 178
D) (x - 8)^2 + (y + 4)^2 = 82

i think it is 70

step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

tip $2.90

total $17.40

example answer: "to determine if a sum is reasonable you can round each number to the nearest whole and compare the estimated sum to the actual sum."

hope this you and anyone else who needs the answer : ^)