Question

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)

Answer 1

The Answer Is C.

Step-by-step explanation:

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

Answer 2

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}`


`\frac{\vec{ER}}{\vec{RF}}=(1)/(5)`

`5*\vec{ER}=\vec{RF}`==>
`5*\vec{ER}+\vec{ER}=\vec{EF}`

`\vec{ER}=\frac{\vec{EF}}{6}=\frac{7*\vec{i}-4*\vec{j}}{6}`



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

R=(31/6,33/3)≈(5.16,7.33)

Answer C