Question

Point N is 3/4 of the distance from A to D. Where is point N?

Answer 1

Answer:

Point N will be located between 0 and -1.

Step-by-step explanation:

Points A and D are placed at (-4, 0) and (4, 0) on a number line.

We have to find the location of a point N which divides AD in the ratio of 3 : 4.

Coordinates of a point (x, y) which divides a segment with extreme ends at $(x_1,y_1)$ and $(x_2,y_2)$ in the ratio of m : n is given by,

x = $\frac{mx_2+nx_1}{m+n}$

y = $\frac{my_2+ny_1}{m+n}$

By this formula, coordinates of the point N will be,

x = $\frac{3(4)+4(-4)}{3+4}$

x = $-\frac{4}{7}$

y = 0

Therefore, coordinates of the point N are $(-\frac{4}{7},0)$.

Point N will be located between 0 and -1.