Answer:
The error is that the question equals -13-13.
Step-by-step explanation:
This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)
Answer:
θ ≈ 71.6°
Step-by-step explanation:
The angle between two lines with slopes m₁ and m₂ is:
tan θ = | (m₂ − m₁) / (1 + m₁m₂) |
Here, m₁ = -2 and m₂ = 1.
tan θ = | (1 − (-2)) / (1 + (-2)(1)) |
tan θ = | 3 / -1 |
tan θ = 3
θ ≈ 71.6°
Answer:

Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

Answer:
Step-by-step explanation:
Answer:
+ or - 11
Step-by-step explanation:
To find the square root of 121, think of a number that multiplied by itself would get to 121. This number is 11. However, do remember that the number could also be negative 11 bencause a negative times a negative becomes positive. I would advise you to try memorizing the squares of 0 to 15 to help you with this. Otherwise, you can just use a calculator.
Hope this helps! :)