MATH SOLVE

3 months ago

Q:
# Point R divides in the ratio 1 : 3. If the x-coordinate of R is -1 and the x-coordinate of P is -3, what is the x-coordinate of Q?A. B. 3C. 5D. 6E. -9

Accepted Solution

A:

Answer:C. 5Step-by-step explanation:Point R divides the line segment PQ internally. The x-coordinate of the point which divides the line segment in ration m:n internally can be calculated as:[tex]x=(\frac{mx_{2}+nx_{1}}{m+n} )[/tex]Here, x1 is the x-coordinate of 1st point, x2 is the x-coordinate of 2nd point, x is the x-coordinate of point dividing the segment. We have all the values except x2. Using the given values in above formula, we get:[tex]-1=\frac{x_{2}+3(-3) }{1+3} \\ \\-4=x_{2}-9\\\\ 5=x_{2}[/tex]Thus the x-coordinate of point Q will be 5The x-coordinate of Q is 5.