Grace has a segment with endpoints a(3,2) and b(6,11) that is partitioned by a point c such that ac and bc form a 2: 3 ratio. she knows that the distance between the x-coordinates is 3 units. which of the following fractions will let her find the x-coordinate for point c?

1. 3/5
2. 3/2
3. 2/3
4. 2/5

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: