Could be the sum is 1 and then 2 times 2 which equals 4 then 5 then plus 3 it is 8 so wrong
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
Answer:
19.1 feet
Step-by-step explanation:
Length of the ladder = 20 feet
Distance from the ladder to the wall = 6 feet
Height of the ladder on the wall = x
x² + 6² = 20²
x² = 20² - 6²
x² = 364
x = 19.1 feet (Rounded to nearest tenth)
Hello,
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Okay!
Notable things in the problem:
2011 <u>minutes</u> <u>AFTER</u> the beginning of January 1rst.
12:00AM will be our starting time, because that's when January 1rst begins.
It'll be a bit easier to work with if we convert the 2011 minutes into hours.
So take 2011 minutes and divide it by 60 to get the number of hours.
2011 / 60 = 33 hours and 31 minutes
You wouldn't be able to easily get the exact number of minutes from a calculator. You'll need to use long division. The remainder will be the number of minutes. If you want to check you can multiply the number of hours by 60 and add 31 to the product. If it doesn't equal 2011 minutes then something is amiss.
12:00 AM
Since we know this is a 24 hour clock we can subtract 24 from our number of hours. (Just remember that this is the next day)
12:00 AM with 9 hours and 31 minutes left.
9:31 AM a day later is our time!<u />
