<h3>Answer: Choice D</h3>
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Explanation:
The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.
The shortest way is to simply count how many negative signs each expression has.
The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.
For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.
Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.
Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.
The measure of the angle formed by 2 chords that intersect inside the circle is 1/2<span> the sum of the chords' intercepted arcs.
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(83 + x)/2 = 107
83 + x = 107 * 2
83 + x = 214
x = 214 - 83
x = 131°
13. Let A = the amount of money in the given time, P = principal amount; the amount of money you start with, T = time in years, R = interest rate, and N = amount of times interest is compounded each year.
The formula for compound interest is:

Now, we find in the information from the description needed to plug in. P = $1000, R = 7% or 0.07, N = 1 time a year, T = 3 years

This simplifies to:

And again to:

Plug this into a calculator:
A = 1225.043 or ≈1,225.04
14. (x² + 3)(x - 3)(x + 3)
I'm going to do FOIL method on the second and third binomials first and simplify. This gives you:
(x² + 3)(x² - 9)
Then you do the FOIL method again to get:
x⁴ - 9x² + 3x² - 27
And combine like terms for your answer:
x⁴ - 6x² - 27
Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in.
If not, your area is found by the equation 3x² - 5x - 12