Answer:
{1}
Step-by-step explanation:
A ∩ B ∩ C means A intersection B intersection C. That means the question is asking for a set of numbers that are in sets A, B, and C.
{1} is the answer since it is the only number that is in all three sets.
The answer would be B. 8m.,
because if the base is 8, the height would be 6+8=14, and 14 x 8=112 x 1/2=56 m^2.
- 6/7
hope that helps if you divide it by 2 you you get your answer
Answer:
12.79%
Step-by-step explanation:
Let :
Great grand mother = 86 years
Jenny = 11 years
Let the percentage = x
x % of great grandmother's age = Jenny's age
x% * 86 = 11
x/ 100 * 86 = 11
86x / 100 = 11
86x = 100 * 11
86x = 1100
x = 1100/86
x = 12.79
x = 12.79%
Answer:
or ![=5x-1](https://tex.z-dn.net/?f=%3D5x-1)
Step-by-step explanation:
One is given the following equation:
![5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}](https://tex.z-dn.net/?f=5x-%5Cfrac%7B%5Csqrt%7B9x%5E2-6x%2B1%7D%7D%7B1-3x%7D)
The problem asks one to simplify the expression, the first step in solving this equation is to factor the equation. Rewrite the numerator and denominator of the fraction as the product of two expressions. Remember the factoring patterns:
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![=5x-\frac{\sqrt{9x^2-6x+1}}{1-3x}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B%5Csqrt%7B9x%5E2-6x%2B1%7D%7D%7B1-3x%7D)
![=5x-\frac{\sqrt{(3x-1)^2}}{-(3x-1)}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B%5Csqrt%7B%283x-1%29%5E2%7D%7D%7B-%283x-1%29%7D)
Now simplify the numerator. Remember, taking the square root of a squared value is the same as taking the absolute value of the expression,
![=5x-\frac{\sqrt{(3x-1)^2}}{1-3x}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B%5Csqrt%7B%283x-1%29%5E2%7D%7D%7B1-3x%7D)
![=5x-\frac{|3x-1|}{-(3x-1)}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B%7C3x-1%7C%7D%7B-%283x-1%29%7D)
Rewrite the expression without the absolute value sign in the numerator. Remember the general rule for removing the absolute value sign:
or ![(-a-b) = b-a](https://tex.z-dn.net/?f=%28-a-b%29%20%3D%20b-a)
![=5x-\frac{|3x-1|}{-(3x-1)}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B%7C3x-1%7C%7D%7B-%283x-1%29%7D)
or ![=5x-\frac{-(3x-1)}{-(3x-1)}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B-%283x-1%29%7D%7B-%283x-1%29%7D)
Simplify both expressions, reduce by canceling out common terms in both the numerator and the denominator,
or ![=5x-\frac{-(3x-1)}{-(3x-1)}](https://tex.z-dn.net/?f=%3D5x-%5Cfrac%7B-%283x-1%29%7D%7B-%283x-1%29%7D)
or ![=5x-(1)](https://tex.z-dn.net/?f=%3D5x-%281%29)
Simplify further by rewriting the expression without the parenthesis, remember to distribute the sign outside the parenthesis by the terms inside of the parenthesis; note that negative times negative equals positive.
or ![=5x-(1)](https://tex.z-dn.net/?f=%3D5x-%281%29)
or ![=5x-1](https://tex.z-dn.net/?f=%3D5x-1)