Solve the problem.If a polygon, of n sides has n(n - 3) diagonals, how many sides will a polygon with 152 diagonals have?

A. 19 sides
B. 18 sides
C. 21 sides
D. 20 sides


Answer: A

Mathematics

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Provide an appropriate response.Show that the arc length of one petal of the rose  is given by  2and use this formula to help make a conjecture about the limit of such arc lengths as 

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Provide an appropriate response.Describe how the graph of y = x2 - 4 differs from the graph of .

What will be an ideal response?

Mathematics

Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.17x2 - 12xy + 8y2 - 68x + 24y -12 = 0

A. ? = 26.6°
 +  = 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±4)
B. ? = 63.4°
 -  = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±4, 0)
C. ? = 63.4°
x'2 = -16y'
parabola
vertex at (0, 0)
focus at (0, -4)
D. ? = 63.4°
 +  = 1
ellipse
center at (, - )
major axis is x'-axis
vertices at (4 + , - ) and (-4 + , - )

Mathematics

Factor by grouping.8x2 + 10x + 12x + 15

A. (8x + 3)(x + 5) B. (2x - 3)(4x - 5) C. (8x - 3)(x - 5) D. (2x + 3)(4x + 5)

Mathematics