Find zw or  as specified. Leave your answer in polar form.z = 10(cos 45° + i sin 45°)w = 5(cos 15° + i sin 15°)Find .

A. (cos 45° + i sin 45°)
B. 2(cos 30° + i sin 30°)
C. 2(cos 45° + i sin 45°)
D. (cos 30° + i sin 30°)


Answer: B

Mathematics

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Write as a decimal.

A. 0.84 B. 0.74 C. 0.75 D. 0.64

Mathematics

Find the equation of the line described, and express your answer in the specified form.Perpendicular to the line y = 3x - 3; passes through the point (-1, 2); slope-intercept form

A. y = 3x + 
B. y = -3x + 
C. y = x + 
D. y = - x + 

Mathematics

Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 + 8y = 8x + 40

A. vertex: (-7, -4)
focus: (-9, -4)
directrix: x = -5

B. vertex: (-7, -4)
focus: (-7, -6)
directrix: y = -2

C. vertex: (-7, -4)
focus: (-5, -4)
directrix: x = -9

D. vertex: (-7, -4)
focus: (-7, -2)
directrix: y = -6

Mathematics

Find the value of the variable that satisfies the equation.5x + 15x = 17

A. = -3
B. = 
C. = 
D. = 340

Mathematics