Translate the ellipse with the given equation so that it is centered at the given point. Find the new equation and sketch its graph. +  = 1; (3,-2)

A.  +  = 1

B.  +  = 1

C.  +  = 1

D.  +  = 1


Answer: B

Mathematics

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Find the volume of the solid generated by revolving the region about the given line.The region bounded above by the line , below by the curve , on the left by the line , and on the right by the line x = 0.5, about the line 

A. 54? - 144 B. 54? C. 18? D. 108? - 72

Mathematics

Find the exact value of the expression.

A. - 
B. -2
C. - 
D. -

Mathematics

Add like terms, if possible, and write the result in descending powers of the variable.-3m8 + 12m7 - 14m2 + 5m8 - 14m7

A. 306m B. 2m8 - 2m7 - 14m2 C. 18m17 D. Cannot be simplified

Mathematics

Solve the inequality and express the solution set in interval notation. Graph the solution set on the real number line.x - 1 ? -6

A. x ? -5; (-?, -5]

B. x < -5; (-?, -5)

C. x <-7; (-?, -7)

D. x ? -5; [-5, ?)

Mathematics