Complete the square to write the equation in the form  +  = 1 or  +  = 1.Determine the center, foci, and vertices of the ellipse.3x2 + 5y2 - 24x + 70y + 278 = 0

A.  +  = 1
center: (-4, 7); foci: (-4 + , 7), (-4 - , 7); vertices: (-4 - , 7), (-4 + , 7)
B.  +  = 1
center: (-4, 7); foci: (-4 + , 7), (-4 - , 7); vertices: (-4 - , 7), (-4 + , 7)
C.  +  = 1
center: (4, -7); foci: (4 + , -7), (4 - , -7); vertices: (4 + , -7), (4 - , -7)
D.  +  = 1
center: (4, -7); foci: (4 + , -7), (4 - , -7); vertices: (4 + , -7), (4 - , -7)


Answer: C

Mathematics

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