Solve.The sum of the squares of two numbers is 61. The sum of the two numbers is -1. Find the two numbers.

A. -5 and 6
B. -6 and 5
C. -6 and 5; -5 and 6
D. -6 and -5; 5 and 6


Answer: B

Mathematics

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Solve the problem.The hyperbola  -  = 1 is shifted horizontally and vertically to obtain the hyperbola -  = 1Find the asymptotes of the new hyperbola.

A. y - 3 = ± (x - 3)
B. y = ± x
C. y - 3 = ± (x - 3)
D. y = ± x

Mathematics

For the graph below, use the nearest neighbor algorithm to find an approximate minimum Hamilton circuit and its weight, starting at the indicated vertex.Starting at A

A. A ? E ? B ? C ? D ? A; weight = 28 B. A ? C ? E ? B ? D ? A; weight = 29 C. A ? B ? C ? D ? E ? A; weight = 25 D. A ? D ? B ? C ? E ? A; weight = 27

Mathematics

Add or subtract. Express the answer as a mixed number.-6 + 15 

A. 8
B. 9
C. 8
D. 7

Mathematics

For the pictured triangles, they are:



(a) Congruent by SSS.
(b) Congruent by SAS.
(c) Congruent by ASA.
(d) Congruent by SSA.
(e) Congruent by AAA.
(f) Not necessarily congruent.

Mathematics