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Rus_ich [418]
3 years ago
5

The location of point V is (-3,3). The location of point X is (9,13). Determine the location of point W which is 3/4 of the way

from V to X
Mathematics
1 answer:
Inga [223]3 years ago
3 0

ANSWER

W(\frac{9}{7},\frac{51}{7} )

EXPLANATION

We want to find the coordinates of the point W(x,y) which divides V(-3,3) and X(9,13) in the ratio m:n=3:4.

The x-coordinate of this point is given by:

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

x= \frac{3(9)+4( - 3)}{4 + 3}

x= \frac{21 - 12}{4 + 3}

x= \frac{9}{7}

The y-coordinates is given by;

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

y= \frac{3(13)+4( 3)}{4 + 3}

y= \frac{39+12}{4 + 3}

y= \frac{51}{7}

Hence

W(\frac{9}{7},\frac{51}{7} )

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