A circle has center (3, 5) and diameter AB. The coordinates of A are (−4, 6). What is the x-coordinate of B?
1 Answer
Mar 28, 2018
Explanation:
#"the centre is at the midpoint of AB"#
#"using the "color(blue)"midpoint formula"#
#•color(white)(x)"midpoint "=[1/2(x_1+x_2),1/2(y_1+y_2)]#
#"where "(x_1,y_1)=(-4,6)#
#"coordinates of B "=(x_2,y_2)#
#"the x-coordinate of the centre "=3#
#rArr1/2(x_2-4)=3larrcolor(blue)"multiply both sides by 2"#
#rArrx_2-4=6rArrx_2=6+4=10#
#"x-coordinate of B "=10#
