Answer: -1
Step-by-step explanation:
Given by your question
2(3x-1)≥4x-6
Distributive property to take off the parentheses
2×3x-2×1≥4x-6
6x-2≥4x-6
Subtract 4x on both sides (Subtractive property of equality)
6x-2-4x≥4x-6-4x
2x-2≥-6
Add 2 on both sides (Addition property of equality)
2x-2+2≥-6+2
2x≥-4
Divide 2 on both sides (Division property of equality)
2/2 x≥-4/2
x≥-2
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Looking at the options you've provided.
-10 INCORRECT, it is not greater or equal to -2
-5 INCORRECT, it is not greater or equal to -2
-3 INCORRECT, it is not greater or equal to -2
-1 CORRECT, it is greater than -2
Hope this helps!! :)
Please let me know if you have any question
The square of a prime number is not prime.
a) let x ∈ R, If x ∈ {prime numbers}, then
∉{prime numbers}
there says that if x is a real and x is in the set of the prime numbers, then the square of x isn't in the set of prime numbers.
b) Prove or disprove the statement.
ok, if x is a prime number, then x only can be divided by himself. Now is easy to see that
= x*x can be divided by himself and x, then x*x is not a prime number, because can be divided by another number different than himself
Answer:
The height of the building is ![73.2\ ft](https://tex.z-dn.net/?f=73.2%5C%20ft)
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
![tan(38\°)=\frac{BC}{AB}](https://tex.z-dn.net/?f=tan%2838%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7BAB%7D)
we have
![AB=63\ ft](https://tex.z-dn.net/?f=AB%3D63%5C%20ft)
substitute and solve for BC
![tan(38\°)=\frac{BC}{63}](https://tex.z-dn.net/?f=tan%2838%5C%C2%B0%29%3D%5Cfrac%7BBC%7D%7B63%7D)
![BC=(63)tan(38\°)=49.2\ ft](https://tex.z-dn.net/?f=BC%3D%2863%29tan%2838%5C%C2%B0%29%3D49.2%5C%20ft)
Find the height of the building
The height of the building (h) is equal to
![h=BC+24=49.2+24=73.2\ ft](https://tex.z-dn.net/?f=h%3DBC%2B24%3D49.2%2B24%3D73.2%5C%20ft)