Provide an appropriate response.State whether the following angle pairs are complementary, supplementary, or neither: 20°, 

Fill in the blank(s) with the appropriate word(s).


neither

Mathematics

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Solve the problem.The parabola x2 = -28y is shifted 3 units up and 6 units to the right. Find the focus and directrix of the new parabola.

A. Focus: (-4, 6); Directrix: x = 10 B. Focus: (6, -4); Directrix: y = -10 C. Focus: (6, 10); Directrix: y = 10 D. Focus: (6, -4); Directrix: y = 10

Mathematics

Provide an appropriate response.The pitch of a roof is given as a single digit, such as 8 pitch. This actually means a rise of 8 feet for every 12 feet of horizontal run. A roofing contractor told his workers that an 8 pitch is a roof with an angle of 60° from the horizontal. What is the true angle of a roof with a pitch of 8? Round to the nearest 0.1°.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the equilibrium point of the demand and supply equations. (The equilibrium point is the price p and number of units x that satisfy both the demand and supply equations.)



a. ( 200, 85 )
b. ( 400, 71 )
c. ( 196, 82.2 )
d. ( 900, 36 )
e. inconsistent

Mathematics

Graph the function.

y = 1n(3x)


Mathematics