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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 of R to two decimal places?



A). (4.66, 7.62)

B). (6, 6.86)

C). (5.17, 7.33)

D). (9.83, 4.67)

Verified Answer :

olemakpadu

Good morning,

if a line of points (x₁, y₁) and (x₂, y₂) is divided by ratio p : q

The new coordinates become    ( (px₂ + qx₁)/(p +q), (py₂ + qy₁)/(p +q) )    

E(4, 8) and F(11, 4), x₁ = 4, y₁ = 8,  x₂ = 11, y₂ = 4,  ratio p:q = 1:5, p =1, q = 5

(px₂ + qx₁)/(p +q) = (111 + 54)/(1 +5) = (11 + 20)/6 = 31/6 ≈ 5.17   to 2 decimal places.

(py₂ + qy₁)/(p +q) = (14 + 58)/(1 +5) = (4 + 40)/6 = 44/6 ≈ 7.33   to 2 decimal places.


So the coordinate R that divides EF in the ratio 1:5 is ≈ (5.17, 7.33) to 2 decimal places.

Option C is the answer.

I hope this helps.

-Olemakpadu

Answer:

c.

Step-by-step explanation:

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