Question

On a number line, the directed line segment from Q to S has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio. Which expression correctly uses the formula (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 to find the location of point R? (StartFraction 1 Over 1 + 4 EndFraction) (12 minus (negative 8)) + (negative 8) (StartFraction 4 Over 4 + 1 EndFraction) (12 minus (negative 8)) + (negative 8) (StartFraction 4 Over 4 + 1 EndFraction) (negative 8 minus 12) + 12 (StartFraction 4 Over 1 + 4 EndFraction) (negative 8 minus 12) + 12

Answer 1

Answer:

Option B.

Step-by-step explanation:

The given formula is

$x=\dfrac{m}{m+n}(x_2-x_1)+x_1$

It is given that a line segment has endpoints Q at –8 and S at 12. Point R partitions the directed line segment from Q to S in a 4:1 ratio. It means

$m=4$

$n=1$

$x_1=-8$

$x_2=12$

Substitute these values in the given formula.

$x=\dfrac{4}{4+1}(12-(-8))+(-8)$

Therefore, the correct option is B.

Answer 2

Answer:

B on edg2020

[3/3+5] (-14 -2) +2