Mathematics: 1) Point M divides line segment AB, in the direction from A to B. in a ratio of 4 to 9. What value on the number line would indicate the location of point M?

1) Point M divides line segment AB, in the direction

orangeicecream

30.01.2022

Point M will be located between 0 and 1 at $\frac{1}{13}$ .

Step-by-step explanation:

Two points A and B have been given on a number line.

Point A is at -3 and point B at 7.

Distance between these points AB = 7 - (-3)

= 7 + 3

= 10 units

Another point M divides the given segment AB in the ratio of 4 : 9.

Therefore, length of segment AM will be = $\frac{4\times 10}{(4+9)}$

= $\frac{40}{13}$

= $3\frac{1}{13}$ units

Now the position of point M will be at $(-3+3\frac{1}{13})$ = $\frac{1}{13}$

Therefore, point M will be located between 0 and 1 at $\frac{1}{13}$ .

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biglue19

18.04.2023

your answer is -8.667

Step-by-step explanation:

I hope this helps

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