On a number line, the directed line segment from Q to S has endpoints Q at –14 and S at 2. Point R partitions the directed line segment from Q to S in a 3:5 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 3 Over 3 + 5 EndFraction) (2 minus (negative 14)) + (negative 14)

(StartFraction 3 Over 3 + 5 EndFraction) (negative 14 minus 2) + 2

(StartFraction 3 Over 3 + 5 EndFraction) (2 minus 14) + 14

StartFraction 3 Over 3 + 5 EndFraction (negative 14 minus 2) minus 2

Option A: is the expression that correctly uses the formula

Explanation:

It is given that, the number line segment from Q to S has endpoints Q at –14 and S at 2.

Point R partitions the directed line segment from Q to S in a 3:5 ratio.

Thus, we have,

, , and

The location of point R can be determined using the formula,

Substituting the values, we get,

Hence, substituting the values , , and in the formula , we get,

Thus, the expression that correctly uses the formula is

Therefore, Option A is the correct answer.

step-by-step explanation:

this is not possible to solve with the info given.   you need at least an one angle somewhere.

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas