Answer:
C. The square root of a number, positive or negative, is always positive. However, the cube of a negative number is negative.
Step-by-step explanation:
Of the choices offered, the one shown above is the only one that remotely makes any sense. Its description of square roots is erroneous, however.
The square root of a number n is the solution to the equation ...
x² = n
The function f(x) = x² has a range that only includes non-negative numbers, so the square root of a negative number does not exist. (Your answer choice says it is positive. It is actually non-existent among real numbers.)
On the other hand, the cube root of a number n is the solution to the equation ...
x³ = n
Since f(x) = x³ has a range that includes all real numbers, the cube root of n exists for all real numbers. (It is negative for negative values of n.)
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<em>Comment on answer wording</em>
The answer wording would be correct if the word "root" were left out.
A reasonable domain would be [0, 8] since 8 hour work days are common.
A reasonable range would then be [0, 64].
Answer:
Here,
<1 = 120° [linear pair]
<2 = 60° [Vertically Opposite Angles]
<3 = 90° [linear pair]
<4 = 90° [Vertically Opposite Angles]
<5 = 30° [Angle sum property of triangle]
<6 = 150° [linear pair of <5]
