Solve the problem.A bridge is built in the shape of a semielliptical arch. It has a span of 90 feet. The height of the arch 28 feet from the center is to be 7 feet. Find the height of the arch at its center.

A. 28.35 ft
B. 7.37 ft
C. 11.25 ft
D. 8.94 ft


Answer: D

Mathematics

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Find the linearization L(x) of f(x) at x = a.f(x) = x + , a = 2

A. L(x) = x + 1
B. L(x) = x + 1
C. L(x) = x + 
D. L(x) = x + 

Mathematics

Solve the problem.A person with no more than $2000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let  to be invested in telecommunications and  to be invested in pharmaceuticals.

A. x + y = 2000 y ? 3x x ? 0 y ? 0 B. x + y ? 2000 3x ? y x ? 0 y ? 0 C. x + y ? 2000 x ? 3y x ? 0 y ? 0 D. x + y = 2000 x ? 3y x ? 0 y ? 0

Mathematics

Solve the compound inequality and graph the solution set on a number line. Except for the empty set, express the solution set in interval notation.x ? 1 and x ? -2

A. (-?, -2] ? [1, ?)

B. [-2, 1]

C. (-2, 1)

D. ?

Mathematics

Simplify the radical.

A. 6xy
B. 6xy
C. 6xy
D. 5xy

Mathematics