The transformation that takes a point (a, b) to the point (-a,-b) is:
(a) A reflection about the line y = x.
(b) A translation through the vector (-1,-1).
(c) A similitude with scale factor 3.
(d) A rotation of 90°.
(a) A reflection about the line y = x.
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Provide an appropriate response.Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression 
From this equation, what can you say about the original expression?
A. The original expression has a numerator of (7x - 3)(3x - 8)(x + 5)(x + 5). B. The original expression has a non-reducible quadratic factor in the denominator. C. The original expression has the factor (x2 + 5) in the denominator. D. The original expression has a repeating linear factor in the denominator.
Solve.xy - y2 = -2416xy - 10y2 = 0
A. 
, 
B. 
, 
C. 
, 
D. 
, 
Simplify the expression by performing the indicated operations.
? 
+ 
? 
A. 6
B. 7
C. 36
D. 15
Write an algebraic expression for the specified quantity.A car radiator has 50 liters of a mixture that is 40% antifreeze. To strengthen the mixture, pure (100%) antifreeze must be added. Let x = the number of liters of pure antifreeze added to the 50-liter mixture. Write an algebraic expression for (i) the number of liters of mixture there will be once the pure antifreeze is added; (ii) the number of liters of antifreeze in the mixture obtained by adding the pure antifreeze to the original 50-liter mixture.
A. (i) 50 + x (ii) 25 + x B. (i) 50 - x (ii) 20 - x C. (i) 50 - x (ii) 16.7 + x D. (i) 50 + x (ii) 20 + x