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Question Number 66746 by John Kaloki Musau last updated on 20/Aug/19

$$ApointTdividesalineABinternallyintheratio5:2.GiventhatAis(-4,10)andBis(10,3),findthecoordinatesofT.$$

Answered by mr W last updated on 19/Aug/19

$$x_T=x_A+\frac{5}{7}(x_B-x_A)=-4+\frac{5}{7}(10+4)=6$$$$y_T=y_A+\frac{5}{7}(y_B-y_A)=10+\frac{5}{7}(3-10)=5$$$$\Rightarrow T(6,5)$$

Commented by John Kaloki Musau last updated on 19/Aug/19

correct

Answered by Rio Michael last updated on 19/Aug/19

$$T(x,y)=(\frac{\mu x_1+\lambda x_2}{\mu +\lambda },\frac{\mu y_1+\lambda y_2}{\mu +\lambda })........internaldivision$$$$T(x,y)=(\frac{5(-4)+2\left(10\right)}{5+2},\frac{5\left(10\right)+2\left(3\right)}{5+2})$$$$T(x,y)=(0,\frac{56}{7})$$$$$$

Commented by mr W last updated on 20/Aug/19

$$pleasechecksir:$$$$itshouldbe$$$$T(x,y)=(\frac{2(-4)+5\left(10\right)}{5+2},\frac{2\left(10\right)+5\left(3\right)}{5+2})$$$$T(x,y)=(6,5)$$

Commented by mr W last updated on 20/Aug/19

$$T(x,y)=(\frac{\mu x_2+\lambda x_1}{\mu +\lambda },\frac{\mu y_2+\lambda y_1}{\mu +\lambda })........internaldivision$$

Commented by Rio Michael last updated on 21/Aug/19

$$yourrightsirthanks$$

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