Provide an appropriate response.Find equations for the tangents to the curves y = tan 2x and y = -tan(x/2) at the origin. How are the tangents related?

What will be an ideal response?


y = 2x and y = - x; The tangents are perpendicular.

Mathematics

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Express the phrase as a ratio in lowest terms.21 miles to 12 miles

A.
B.
C.  
D.  

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Match the inequality with a graph.6y ? -7x

A.

B.

C.

D.

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In the following figure, mn. Determine whether the given angles are congruent or supplementary.?e and ?g

A. Supplementary B. Congruent

Mathematics

Solve the problem.In 1981,  and  had the same population. The population of  continued to increase steadily, while the rate of population growth of  (although initially less than that of ) eventually overtook the growth rate

of City #2. The populations of two cities are modeled by the following equations:  , where  corresponds to the year 1981. In what year after 1981 did the cities have the same population?

A. 1986
B. 1984
C. 1987
D. 1985

Mathematics