They're not equivalent.
(vertical bars) represents the absolute value of x. How it works is that it turns negative numbers positive but leaves 0 and positive numbers alone (hence it gets a number's distance from 0 on the number line).
(square brackets) usually represents the floor function, which returns the largest integer that is less than or equal to x. (The floor of x can also be written as --- it depends on what your textbook/source says).
To solve , you first transform it into the equivalent equation . Then by definition of absolute value, there are only two solutions for the first equation: x = 10 or x = -10.
[x] = 10 has infinitely many solutions. For example, the floor of 10 is 10, so , thus a solution for the second equation is x = 10
The floor of 10.1 is 10, so , thus another solution for the second equation is x = 10.1.
The two equations do not have the same solution set (as x = 10.1 does not solve |x| - 3 = 7 but solves [x] = 10), so they're not equivalent.
Hello!
(ax)(0) means to multiple a by x, and then multiply that by 0
and anything times 0 is always 0
I hope this helps, and have a fantastic day!
You can do 1 5/10 or 1 5.5/10 it depends on the teacher you have if she’s picky or not.
I'm not sure exactly what you're asking but 1×10^-5 is .00001. I could be interpreting your question wrong in which case I'm sorry.
Answer:
Adnan is incorrect because cosx and sin(90 - x) are always equivalent in any right triangle ⇒ first answer
Step-by-step explanation:
In any right triangle there are two acute angles sum of them is 90°
∴ If one of them x°, then the other is (90 - x)°
∵ cos x = adjacent/hypotenuse
∵ sin(90 - x) = opposite/hypotenuse
∵ The opposite of ∠(90 - x) is the adjacent of ∠x
∴ cosx = sin(90 - x)