Step-by-step explanation:
Given equation of circle is,
![{x}^{2} + {y}^{2} - 6y - 12 = 0 \\ by \: compairing \: it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\2 g = 0 \: or \: g = 0 \\ 2f= - 6 \\ or \: f= - 3 \\ c = - 12](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20-%206y%20-%2012%20%3D%200%20%5C%5C%20by%20%5C%3A%20compairing%20%5C%3A%20it%20%5C%3A%20with%20%5C%3A%20%20%20%5C%5C%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%20%2B%202gx%20%2B%202fy%20%3D%200%20%5C%3A%20we%20%5C%3A%20get%20%5C%5C2%20g%20%3D%200%20%5C%3A%20or%20%5C%3A%20g%20%3D%200%20%5C%5C%202f%3D%20%20-%206%20%5C%5C%20or%20%5C%3A%20f%3D%20%20-%203%20%5C%5C%20c%20%3D%20%20-%2012)
again the another form of circle is,
![{x}^{2} + {(y - k)}^{2} = 21 \\ or \: {x}^{2} + {y}^{2} - 2ky + {k}^{2} - 21 = 0 \\ by \: compairing \:it \: with \: \\ {x}^{2} + {y}^{2} + 2gx + 2fy = 0 \: we \: get \\ g = 0 \\f = - k \\ c = {k}^{2} - 21](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7B%28y%20-%20k%29%7D%5E%7B2%7D%20%20%3D%2021%20%5C%5C%20or%20%5C%3A%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%7By%7D%5E%7B2%7D%20%20-%202ky%20%2B%20%20%7Bk%7D%5E%7B2%7D%20%20-%2021%20%3D%200%20%5C%5C%20by%20%5C%3A%20compairing%20%5C%3Ait%20%5C%3A%20with%20%5C%3A%20%20%5C%5C%20%7Bx%7D%5E%7B2%7D%20%20%2B%20%20%7By%7D%5E%7B2%7D%20%20%20%2B%202gx%20%2B%202fy%20%3D%200%20%5C%3A%20we%20%5C%3A%20get%20%20%5C%5C%20g%20%3D%200%20%5C%5Cf%20%3D%20%20-%20k%20%5C%5C%20c%20%3D%20%20%7Bk%7D%5E%7B2%7D%20%20-%2021)
now equating the values of f in both equations,
-k=-3
i.e. k=3
therefore k=3
Answer:
y=1/4x+8
Step-by-step explanation:
If you go back 4 from (4,7) you go up by 1 because -4 * -1/4 is 1 so the y intercept is 8
Answer:
I thought is should only take pic of 1 question
Step-by-step explanation:
Rick Astley,Donald trump,Obama,China has conora
You can find the value of x using the trigonometric function of cosine.
cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x
36.083 = x
Hope I am right :)
Expanded form: 700,000 + 2,000 + 1