Use interval notation to represent all values of x satisfying the given conditions.y1 = 3x + 2, y2 = 2x + 3, and y1 > y2.

A. (1, ?)
B. (5, ?)
C. [1, ?)
D. (-?, 1]


Answer: A

Mathematics

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Solve the problem.Two points A and B are on opposite sides of a building. A surveyor selects a third point C to place a transit. Point C is 47 feet from point A and 65 feet from point B. The angle ACB is 45°. How far apart are points A and B?

A. 103.7 ft B. 46 ft C. 65.4 ft D. 92.7 ft

Mathematics

Use a graphing calculator to determine which expression completes the identity.The expression is to be the left hand side of an equation that is an identity. Which one of the following four expressions can be used as the right hand side of the equation to complete the identity?

A. tan ? B. sec ? C. cos ? D. csc ?

Mathematics

Find the principal unit normal vector N for the curve r(t).r(t) = (4t sin t + 4 cos t)i  + (4t cos t - 4 sin t))k

A. N = (-sin t)i - (cos t)k
B. N = (cos t)i - (sin t)k
C. N = - (cos t)i - (sin t)k
D. N = (sin t)i + (cos t)k

Mathematics

Simplify each side of the equation, if possible. Then solve the equation.15x = -6 + 14x

A. -5 B. -6 C. 8 D. 6

Mathematics