Provide an appropriate response.Solve the equation:
x = 
A. x =
B. x = -9
C. x = 16
D. x =
Answer: A
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Find the center of mass of a thin plate of constant density covering the given region.The region cut from the first quadrant by the circle x2 + y2 = 25
A. = 0,
=
B. =
,
=
C. =
,
=
D. =
,
=
Decide whether the statement makes sense. Explain your reasoning.Last year a mathematician came up with a new apportionment system which would be guaranteed to avoid the Alabama, population, and new states paradoxes, and which would never violate the quota criterion.
What will be an ideal response?
Solve using Cramer's rule.
A. (0, 4) B. (0, 5) C. (-1, 5) D. No solution
Write the appropriate rotation formulas so that in a rotated system the equation has no x'y'-term.3x2 + 2xy + 3y2 - 8x + 8y = 0
A. x = -y'; y = x'
B. x = x' -
y'; y =
x' +
y'
C. x = x' -
y'; y =
x' +
y'
D. x = (x' - y'); y =
(x' + y')