Answer:
3√3
Step-by-step explanation:
For the problem shown here, your answer 3√3 is correct.
When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:
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If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.
<u>Example</u>:
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It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.
9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.
Please discuss this question with your teacher.
Answer:
8:02 AM
Step-by-step explanation:
Find out how many minutes it takes to travel one mile:
60 divided by 45= 1.333334 minutes
It takes 1.333334 minutes to travel 1 mile, how long will it take to travel 100 miles:
1.333 times 100 = 133.3334
133.3334 rounds to 133 minutes
Add 15 minutes because you want to arrive early
133+15=148
Divide it by 60
148 divided by 60 = 2.466667
or do
148-120 (2 hours) = 28 minutes
It will take 2 hours and 28 minutes to get there
10:30-2:28= 8:02
Given:
The inequality is
To find:
The solution set for the given inequality.
Solution:
We have,
Divide both sides by 3.
It can be written as
Subtracting 4 from each side, we get
The solution set of the given inequality is (-5,-3).
Therefore, the correct option is A.
Answer:
s ≤ -18
Step-by-step explanation:
Multiply both sides of the inequality by -3. Since the multiplier is negative, you need to reverse the comparison symbol.
(-3)(-s/3) ≤ (-3)(6)
s ≤ -18
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If you multiply by a positive number, you don't need to reverse the symbol. Hence multiplying by 3 gives ...
-s ≥ 18
You can now add s to both sides:
0 ≥ 18 + s
and subtract 18 from both sides:
-18 ≥ s
Of course, this is the same relationship as ...
s ≤ -18
