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dangina [55]
2 years ago
7

Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det

ermine the values x and y

Mathematics
1 answer:
Viktor [21]2 years ago
8 0

Answer:

x = \frac{59}{5}

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})

(7,-3) =(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )

(7,-3) = (\frac{5x+32}{13}, \frac{5y+16}{13})

Now

7  = \frac{5x+32}{13}  

5x+32 = 91

x = \frac{59}{5}

and

-3 =\frac{5y+16}{13}

5y + 16 = -39

y = -11

That's the final answer.

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Solution:

The image attached below.

Given  ΔABC to ΔDEF are similar.

To find the ratio of similarity triangle ABC and triangle DEF.

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Let us first find the length of EF.

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