Line segment ab has endpoints a(2, 5) and b(6, 2). find the coordinates of the point that divides the line segment directed from a to b in the ratio of 1: 2.

B. (10/3, 4)

Step-by-step explanation:

(10/3, 4)

(mx2 + nx1)                    (my2 + ny1)

(m + n)                ,           (m + n)

Where the point divides the segment internally in the ratio m:n

((1)(6) + (2)(2))          ((1)(2) + (2)(5))      =      10/3  

   (1 + 2)                ,         (1 + 2)          =       , 4

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

i use my brain for prombles like this maybe you could try it

step-by-step explanation: