Which points are a distance of 5 units from (2, 3) if d = square root (x2 - x1)2 + (y2 - y1)?

Step-by-step explanation:

hello :

note :

note : distance between A(X1,Y1) an B (X2,Y2) is :  

AB= √((X2 - X1)² + (Y2 - Y1)²)    (given point  B(2 , 3)

in this exercice : X1 = 2     X2 = ?      Y1 = 3      Y2 = ?   d=AB=5

d² = (X2 - 2)² + (Y2 - 3)² =25

the points are a distance of 5 units from B (2, 3) if d = 5 :

the points are located on a circle with center B and radius 5

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so: