Respuesta :

Answer:

A.

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

From the given parameters;

[tex]m:n = 2:5[/tex]

[tex]m = 2\ and\ n = 5[/tex]

[tex]x_1 = -14\ and\ x_2 = 2[/tex]

Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

This gives:

[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

From the list of given options, only option A uses the given form of the formula...