Step-by-step explanation:
In the expression a^n, for integer values of n greater than 1, there are n factors. For example, a^2 = a * 2 (2 factors), a^3 = a * a * a (3 factors), etc.
For a non-negative value of a, a^n is non-negative for all values of n.
If a is negative, and n is even, then a^n is non-negative.
If a is negative, and n is odd, then a^n is negative.
|a| is non-negative for all values of a.
sqrt_n(a^n) is negative for negative a and odd n, but |a| is always non-negative, so sqrtn(a^n) cannot equal |a| for odd n.
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Answer:
d. 45
Step-by-step explanation:
You can check the offered answers. You will find that the difference from reversing the digits will only be 9 if the digits differ by 9/9 = 1.
The original number is 45.
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<em>Check</em>
45 + 9 = 54 . . . with the digits reversed
Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer:
D. 6x + 3
Step-by-step explanation:
A perimeter is just the sum of all sides of a shape.
First, write an equation to add all sides of the triangle:
(x + 4) + (3x - 2) + (2x + 1)
What is inside the parentheses is all already simplified. Also, it is addition, so the order in which we add does not matter. So, we can now get rid of the parentheses and combine like terms:
x + 3x + 2x + 4 -2 + 1
6x + 3
And that's our final answer: 6x + 3
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Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
