Answered




Point R divides EF¯¯¯¯¯ in the ratio 1 : 5. If the coordinates of E and F are (4, 8) and

(11, 4), respectively, what are the coordinates of R to two decimal places?





(4.66, 7.62)





(6, 6.86)





(5.17, 7.33)





(9.83, 4.67)

Verified Answer :

caylus

Hello,
Let's

\(\vec{i}\) the vector unit on ox

\(\vec{j}\) the vector unit on oy

\(\vec{OE}=4*\vec{i}+8*\vec{j}\)
\(\vec{OF}=11*\vec{i}+4*\vec{j}\)

\(\vec{EF}=\vec{OF-\vec{OE}}=(11-4)*\vec{i}+(4-8)*\vec{j}=7*\vec{i}-4*\vec{j}\)

\(\dfrac{\vec{ER}}{\vec{RF}}=\dfrac{1}{5}\)
\(5*\vec{ER}=\vec{RF}\)==>\(5*\vec{ER}+\vec{ER}=\vec{EF}\)
\(\vec{ER}=\dfrac{\vec{EF}}{6}=\dfrac{7*\vec{i}-4*\vec{j}}{6}\)


\(\vec{OR}=\vec{OE}+\vec{ER}=4*\vec{i}+8*\vec{j}+\dfrac{7*\vec{i}-4*\vec{j}}{6}=\frac{31}{6}*\vec{i}+\frac{22}{3}*\vec{j}}\)

R=(31/6,33/3)≈(5.16,7.33)

Answer C







lucyvince15

Answer:

The Answer Is C.

Explanation:

For plato users. Just got a 100 on the test.

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