The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).
<h3>Which choice is equivalent to the quotient?</h3>
According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;
√(4-x²)/√(2-x) = √(4-x²)/(2-x)
Hence, the numerator can be evaluated by difference of two squares where;
(4-x²) = (2-x)(2+x)
Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).
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There is no difference, both equal 40.
Answer: 5 + 5w
Step-by-step explanation:
We can use the variable <em>x </em>to describe each additional hour, although the vairable can be substituted for any other vairable.
We know that the main cost for one hour is $5, and that each additional hour will cost $5.
Therefore, the equation to reflect this situation would be 5 + 5w, because the first 5 represents the first hour, and the 5w represents how much each hour costs. If you rent two extra hours, then the cost would end up being 15, because the equation would become: 5 + (5x2) = 15.
The equation is 5 + 5w. Hope this helps, and good luck!
If the value of cos(θ) is negative, this angle (θ) can only be in one of two quadrants; the sine quadrant or the tan quadrant. In the sine quadrant, tan(θ) must be negative, but since tan(θ) > 0, we can safely say that the angle (<span>θ) is based in the tan quadrant.
We know that cos(</span><span>θ) = - Adjacent / Hypotenuse, and in this case Adjacent = 2 and Hypotenuse = 5. Using Pythagoras' theorem, we can find the opposite side of the right angled triangle situated in the tan quadrant...
</span>Adjacent² + Opposite² = Hypotenuse²
Therefore:
2² + Opposite² = 5²
Opposite² = 5² - 2²
Opposite² = 21
Opposite = √(21)
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Now, sin(θ) must be negative, as the right angled triangle is in the tan quadrant. We also know that sin(<span>θ) = Opposite / Hypotenuse, therefore:
sin(</span><span>θ) = - [</span>√(21)]/[5]
