Solve the problem.The vertex and focus of one parabola are, respectively, the focus and vertex of a second parabola. If  is the equation of one parabola, find the points of intersection of the two parabolas.

A.  and 
B. (16, -16) and (16, 16)
C.  and 
D. (4, -16) and (4, 16)


Answer: A

Mathematics

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Solve the problem.A rectangular patio has dimensions 10 feet by 15 feet. The patio is surrounded by a border with a uniform width of 3 feet. Find the area of the border.

A. 114 ft2 B. 84 ft2 C. 186 ft2 D. 162 ft2

Mathematics

Factor completely. If a polynomial cannot be factored, say it is prime.a2 - 4ab - 12b2

A. (a - 2b)(a + 6b) B. (a + 2b)(a - 6b) C. prime D. (a - 2b)(a + b)

Mathematics

Multiply.× 

A. 2.4198 B. 2 C. 4 D. 4.354

Mathematics

Find the foci of the ellipse.16(x + 1)2 + 9(y - 1)2 = 144

A. (-1, 5), (-1, -3)
B. (-1, 1 - ), (-1, 1 + )
C. (1, -1 - ), (1, -1 + )
D. (-1- , 1), (-1+ , 1)

Mathematics