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
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