Question 1085702
So point C is 3/5 of the way from A to B.
{{{x[A]+(3/5)(x[B]-x[A])=3.6}}}
{{{-6+(3/5)(x[B]+6)=3.6}}}
{{{-30+3x[B]+18=18}}}
{{{3x[B]=30}}}
{{{x[B]=10}}}
Similarly for y,
{{{y[A]+(3/5)(y[B]-y[A])=-0.4}}}
{{{5+(3/5)(y[B]-5)=-0.4}}}
{{{25+3y[B]-15=-2}}}
{{{3y[B]=-12}}}
{{{y[B]=-4}}}
B:({{{10}}},{{{-4}}})
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So D is then {{{4/(4+5)=4/9}}} of the distance from A to B.
{{{x[D]=x[A]+(4/9)(x[B]-x[A])}}}
{{{x[D]= -6+(4/9)(10+6)) }}}
{{{x[D]=-6+64/9}}}
{{{x[D]=-54/9+64/9}}}
{{{x[D]=10/9}}}
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{{{y[D]=y[A]+(4/9)(y[B]-y[A])}}}
{{{y[D]=5+(4/9)(-4-5)}}}
{{{y[D]=5-4}}}
{{{y[D]=1}}}
D:({{{10/9}}},{{{1}}})
However this is not one of the choices.
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*[illustration lp2.JPG].