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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 Sin a 3:5 ratio.
Which expression correctly uses the formula [m/m+n](x2-x1)+x1 to find the location of point R?

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 Sin A 35 Ratio Wh class=

Sagot :

Sqdancefanidn

9514 1404 393

Answer:

  A

Step-by-step explanation:

Using m=3, n=5, x2=2, x1=-14, the only match is the first one.

View image Sqdancefan
Abidemiokinidn

The correct expression for the point on the line is [tex]M=\frac{3}{3+5} (2-(-14))+(-14)[/tex]

Midpoint of a line

The formula for expressing the midpoint of a line is expressed as:

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

Given the following parameters

m=3,

n=5,

x2=2,

x1=-14,

Substitute

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

This given the correct expression for the point on the line

Learn more on midpoint here: https://brainly.com/question/18315903

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