For any quadrilateral with perpendicular diagonals of lengths and , the area isgiven by A =

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Answer the following statement true (T) or false (F)

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True

Mathematics

Find the extreme values of the function subject to the given constraint.  

A. Minimum: 4 at (0, ±1); maximum: 0 at (0, 0) B. Minimum: 4 at (0, ±1); maximum: 6 at (±1, 0) C. Minimum: 4 at (±1, 0); maximum: 0 at (0, 0) D. Minimum: 4 at (±1, 0); maximum: 6 at (0, ±1)

Fill in the blank with one of the words or phrases listed below. Not all choices will be used and some choices may be used more than once.The  of a list of terms is the product of all common factors.

A. difference of two squares B. difference of two cubes C. greatest common factor D. perfect square trinomial

Determine if a pair of triangles is similar in each case. If they are, write an appropriate similarity sentence and explain why the triangles are similar.

(a)
(b)

Find the zeros of the polynomial function and state the multiplicity of each.f(x) = (x2 + 9x + 18)2

A. x = 6, multiplicity 2; x = 3, multiplicity 2
B. x = , multiplicity 2; x = -, multiplicity 2
C. x = -, multiplicity 4
D. x = -3, multiplicity 2; x = -6, multiplicity 2