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NeX [460]
3 years ago
9

LM has the endpoints L at –5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3 ratio, use

the formula x = (x2 – x1) + x1.
x = (9 – (–5)) + (–5)
Mathematics
2 answers:
sdas [7]3 years ago
5 0

Answer:

The value of point x is \frac{3}{5}.

Step-by-step explanation:

It is given that LM has the endpoints L at –5 and M at 9.

The point x divides the directed line segment LM in a 2:3 ratio.

The given formula is

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

Using above formula we get

x=\frac{2}{2+3}(9-(-5))+(-5)

x=\frac{2}{5}(9+5)-5

x=\frac{2}{5}(14)-5

x=\frac{28}{5}-5

x=\frac{28-25}{5}

x=\frac{3}{5}

Therefore the value of point x is \frac{3}{5}.

Sedaia [141]3 years ago
4 0

Answer:

to be exact put it like this

3/5

Step-by-step explanation:

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