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mafiozo [28]
3 years ago
7

Point E is located at (−4, 5) and point F is located at (7, 2) . What are the coordinates of the point that partitions the direc

ted line segment EF¯¯¯¯¯ in a 6:4 ratio? Enter your answer, as decimals, in the boxes. ( , )

Mathematics
2 answers:
morpeh [17]3 years ago
8 0

Answer:

(2.6, 3.2) are the coordinates of the point that partitions the directed line segment EF  in a 6:4 ratio

Step-by-step explanation:

Point E is located at (−4, 5) and point F is located at (7, 2)

To find coordinates of the point we apply formula

(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})

(x1,y1) is (-4,5)   (x2,y2) is (7,2)

m=6, n=4

Plug in the values in the formula

(\frac{6(7)+4(-4)}{6+4}, \frac{6(2)+4(5)}{6+4})

(\frac{26}{10}, \frac{32}{10})

(2.6, 3.2)


natita [175]3 years ago
4 0

Answer:

Just took the test :))

Step-by-step explanation:

Look at the image down below!! ヽ(o^▽^o)ノ

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Pythagorean Theorem

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Ok so this is conic sectuion
first group x's with x's and y's with y's
then complete the squra with x's and y's


2x^2-8x+2y^2+10y+2=0
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take 1/2 of linear coeficient and square
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5/2=2.5, 2.5^2=6.25
add that and negative inside

2(x^2-4x+4-4)+2(y^2+5y+6.25-6.25)+2=0
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2((x-2)^2-4)+2((y+2.5)^2-6.25)+2=0
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add 18.5 both sides
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