Provide an appropriate response.Tell whether the statement is true or false. Explain.According to the quotient rule for radicals,  = , where b ? 0.

What will be an ideal response?


False. The quotient rule for radicals also includes the stipulation that  and  are both real numbers. If n is even and a (or b) is negative, then  (or ) is not real and the quotient rule for radicals does not apply.

Mathematics

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Determine the equation of the given line, as well as the slope of the line. If the slope is undefined, state this.

A. y = x - 8, m = 1 B. y = -4, m = 0 C. x = -4, m = 0 D. y = x - 4, m: undefined

Mathematics

Find the indicated term for the geometric sequence with the first term a1 and common ratio r.Find a7 when a1= 3, r = -2

A. a7 = -384 B. a7 = -192 C. a7 = 192 D. a7 = 384

Mathematics

Find all complex roots. Write the answer in polar form, with 0 ? ? ? 360°.Square roots of 1 - i

A. (cos 22.5° + i sin 22.5°), (cos 202.5° + i sin 202.5°)
B. (cos 22.5° + i sin 22.5°), (cos 22.5° + i sin 22.5°)
C. (cos 157.5° + i sin 157.5°), (cos 337.5° + i sin 337.5°)
D. (cos 157.5° + i sin 157.5°), (cos 337.5° + i sin 337.5°)

Mathematics

Write the equation of a sine function that has the given characteristics.The graph of y = , shifted 2 units to the right

A. y =  + 2
B. y =  - 2
C. y = 
D. y = 

Mathematics