Answer:

Step-by-step explanation:
we are given
f is translated 4 units down to create g
we know that
whenever we translate any function by 'a' units down , we always subtract that function by 'a' units
Suppose, f(x) is translated down by 'a' units
so, we get
=f(x)-a
now, we have
f is translated 4 units down
so, we get

and it is creating g(x)

If it's a six sided dice, then it would be 1 out of 3.
I hope that helped :)
Answer:
12 dimes, 8 nickels
Step-by-step explanation:
1. Set up an equation. Since we know the relationship between how many dimes and how many nickels that he has, we can create values for them.
2. Say that the number of nickels is x, so the number of dimes would be 2x-4.
3. Since we know that all of the coins that he has is 20 coins, we can say that 2x-4+x=20.
4. Solve the equation. We get 3x=24, and x=8.
5. That means that the number of nickels is 8, and the number of dimes is 2(8)-4, which is 12.
Answer: Timmy has 12 dimes and 8 nickels.
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
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Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
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If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

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<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).
Answer:

Step-by-step explanation:
From the question we are told that:
Arc
Arc
Given The angle of intersecting chords theorem
Generally the equation for angle BEC is mathematically given by


