If a point P(x, y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P. please answer it and I will mark your answer as the brainliest..please..!!!

Step-by-step explanation:

A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.

The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).

The distance d1 from (x,y) to (2,3) is:

The distance d2 from (x,y) to (6,1) is:

Since d1=d2:

Squaring both sides:

Operating:

Simplifying all the squares:

Moving the variables to the left side and the numbers to the right side:

Simplifying:

Dividing by 4:

Or, equivalently:

2 is the final ! : )

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.