Solve the problem.The surface area S of a sphere with radius r is given by the formula  If a sphere has surface area  square inches, what is its radius?

A. 14 in.
B. 7 in.
C. 7? in.
D. 49 in.

Answer: B

Mathematics

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Solve the problem.The parabola y2 = 6x is shifted up 3 units and left 6 units. Find an equation for the new parabola and find the new vertex.

A. (y + 6) 2 = 6(x - 3); vertex; (3, -6) B. (y - 3) 2 = 6(x + 6); vertex; (-6, 3) C. (y - 6) 2 = 6(x + 3); vertex; (3, -6) D. (y + 3) 2 = 6(x - 6); vertex; (-6, 3)

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Mathematics

Consider these figures:Which figure above, if any, is topologically equivalent to the given figure? Identify the topologically equivalent figure by letter.A stop sign

A. A B. B C. C D. None of these

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Mathematics

Decide whether or not the points are the vertices of a right triangle.Consider the three points A = (3, -2), B = (1, 0), C = (-3, -4). Determine whether the triangle ABC is a right triangle. Explain your reasoning.

A. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 2, d(B, C) = 4.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + 42 = 8 + 16 = 24
[d(A, C)]2 = (2)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2 , triangle ABC is not a right triangle.
B. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 2, d(B, C) = 4.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + (4)2 = 8 + 32 = 40
[d(A, C)]2 = (2)2 = 40
Since [d(A, C)]2 = [d(A, B)]2 + [d(B, C)]2, triangle ABC is a right triangle.
C. The side lengths of triangle ABC are d(A, B) = 4, d(A, C) = 2, d(B, C) = 4.  
[d(A, B)]2 + [d(B, C)]2 = (4)2 + 42 = 32 + 16 = 48
[d(A, C)]2 = (2)2 = 40
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.
D. The side lengths of triangle ABC are d(A, B) = 2, d(A, C) = 4, d(B, C) = 4.  
[d(A, B)]2 + [d(B, C)]2 = (2)2 + (4)2 = 8 + 32 = 40
[d(A, C)]2 = (4)2 = 160
Since [d(A, C)]2 ? [d(A, B)]2 + [d(B, C)]2, triangle ABC is not a right triangle.

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Mathematics

If the symbol = 1,800 cars, estimate what the symbol represents. ?

A. about 900 cars B. about 1,800 cars C. about 600 cars D. about 500 cars

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Mathematics