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.

Mathematics

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Provide an appropriate response.Which of the following statements is false?

A.  converges if p >1 and diverges if p ? 1.
B. The integral test does not apply to divergent sequences.
C. converges if p > 1.
D. If an and f(n) satisfy the requirements of the Integral Test, and if  converges, then  = dx.

Mathematics

Provide an appropriate response.An investor has $12,000 to purchase stock in two companies. If the first stock sells for $45 per share, and the second stock sells for $62 per share, find an equation that shows the possible ways to purchase the stock.

What will be an ideal response?

Mathematics

Estimate the answer by rounding as indicated.Estimate by rounding to the nearest ten.

A. 26 B. 160 C. 20 D. 30

Mathematics

Solve by completing the square to obtain exact solutions.x2 + 4x - 5 = 0

A. -1, 5
B. -i, i
C. 1, -5
D. 0, -5

Mathematics