(Q35)If the distance between two points (x,7) and (1,15) is 10, find the value of x.

Answer

Formula distance between two points=√((x2 - x1)2 + (y2 - y1)2)

Now distance between (x,7) and (1,15) is 10

√((x-1)2 + (-)2) = 10

(x-1)2+(-)=102

(x-1)2=100-

(x-1)=√

x-1=±

x-1= or x-1= -

x=+1 or x=-+1

x= or x=-