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Umnica [9.8K]
4 years ago
12

Can y’all help please

Mathematics
1 answer:
irakobra [83]4 years ago
7 0

Answer:

-4, 4

Step-by-step explanation:

it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4

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Step-by-step explanation:

The general form of the circle is

x^2+y^2+Dx+Ey+F=0\hfill (1)

Given points are (5,0) , (0,4) and (2,4)

Let the points (5,0) , (0,4) and (2,4) be (x_1,y_1) , (x_2,y_2) and (x_3,y_3) respectively

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Substituting the point (5,0) in (1)

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5D-F=25\hfill (2)

Substituting the point (0,4) in

(0)^2+(4)^2+D(0)+E(4)+F=0

16+4E+F=0

4E+F=-16\hfill (3)

Substituting the point (2,4) in

(2)^2+(4)^2+D(2)+E(4)+F=0

4+16+2D+4E+F=0

2D+4E+F=-20\hfill (4)

By solving the equations (2) ,(3) and(4) we get the values of D,E and F as below

D=-2  , E=0  and F=-15

substituting the values of D,E and F in (1) we get

x^2+y^2-2x+(0)y-15=0

Now multiplying the above equation into 4 we get

4x^2+4y^2-8x+(0)y-60=0

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