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Sagot :

Step-by-step explanation:

A (-3 , 4) and C ( 2 , -6 ) and ratio of AB : AC is 4:5

now , let AB be 4x and AC be 5x such that

AC = AB + BC

AC - AB = BC

5x - 4x = BC

x = BC

ratio of AB : BC = 4:1

by using section formula

( mx2 + nx1 / m+n , my2 + ny1 / m+n )

where m = 4 and n = 1

B = ( 4×2 + 1×-3 / 4+1. ,. 4× -6. + 1× 4 / 4+1 )

B = ( 8 -3 / 5. ,. -24 + 4 / 5)

B = ( 5/5. ,. -20/5 )

B = ( 1. , -4 )