Answer:
Yes, you can find the cube root of a negative number. The answer will be negative!
Step-by-step explanation:
Example: Find the cube root of -27
We know that a cube root is a number multiplied by itself 3 times (NOT MEANING THE NUMBER TIMES 3)
For example, The cube root of 27 positive is 3 because 3 x 3 x 3 = 27
But if we are using a negative number: It is really different because we got to know the rules.
The setup: -3 x -3 x -3 = -27
If we started with -3 x -3 first we know that a negative times a negative equals positive so the answer will be 9 positive, then we have this equation left:
9 x -3 = -27
The rule with this is a number times a negative is negative, so the answer of the question "Find the cube root of -27 is -3"
<u>Answer:</u>
The equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
<u>Solution:</u>
Given, line equation is y = x – 1 ⇒ x – y – 1 = 0. And a point is (-3, -2)
We have to find the line equation which is perpendicular to above given line and passing through the given point.
Now, let us find the slope of the given line equation.

We know that, <em>product of slopes of perpendicular lines is -1.
</em>
So, 1
slope of perpendicular line = -1
slope of perpendicular line = -1
Now let us write point slope form for our required line.

y – (-2) = -1(x – (-3))
y + 2 = -1(x + 3)
y + 2 = -x – 3
x + y + 2 + 3 = 0
x + y + 5 = 0
y = -x -5
Hence the equation through (-3, -2) and perpendicular to y = x – 1 is y = -x -5 and option c is correct.
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