Question

CAN SOMEONE HELP PLEASE!

A circle has center O(−2, −4) and radius 10. Which of the following points is on the circle?

Hint: d equals square root of left parenthesis x sub one minus x sub two right parenthesis squared plus left parenthesis y sub one minus y sub two right parenthesis squared end square root

A. V(8, −4)
B. X(5, −2)
C. Y(−6, 0)
D. Z(5, 7)

Answer 1

the equation of of circle = (x+2)^2 + (x+4)^2 = 100
by sub. by this points in the circle equation
for point V(8,-4)
(8+2)^2 + (-4+4)^2 = 100
so the point V lay on the circle

Answer 2

the equation of a cirecle with radius r and center at (h,k) is
(x-h)^2+(y-k)^2=r^2
r=10
center=(-2,-4)
(x+2)^2+(y+4)^2=10^2
(x+2)^2+(y+4)^2=100
(x,y)
sub given points (or use TI) and see if you get a true statmeent
A is on it

answer is A