X2+ y2 - 8x - 12y + 27 = 0 Center: Radius:
2 answers:
Answer:
Step-by-step explanation:
You have:
Since the variable 'x' appears twice, I am going to choose to group together the terms as to create a 2nd degree trinomial:
This allows us to complete the square and factor the trinomial:
This is not a valid circle equation in the real plane. It has a complex radius of:
And is centered at the point:
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Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is: