Answer:
6c^2(-40 + 5c^3 + 3c^2)
Step-by-step explanation:
These three terms have the common factor c^2. Thus:
-240c^2+ 30c^5+ 18c^4 = c^2(-240+ 30c^3+ 18c^2).
Recognizing that 6 is common to all three terms inside the parentheses, we get:
6c^2(-40 + 5c^3 + 3c^2) This is as far as factoring of this expression can be taken.
Step-by-step explanation:
| v − 455 | < 23
Writing this without absolute values:
-23 < v − 455 < 23
Solving for v:
432 < v < 478
In interval notation: (432, 478)
This interval is within the range of blue wavelengths, so the fireworks will be blue.
Answer:For this problem, you will need to use the pythagorean theorem which is
So a and b are usually the sides that are NOT the hypotenuse, or in this case the long side that is not at a 90 degree angle.
You will start by plugging 12 into with (a) or (b) but not both. And then you will plug 17 in for (c). Make sure you square these values to solve the equation. Once you do that, it is basic algebra from there to solve for the missing variable. If you want to check to see if your answer is correct, then plug all the side numbers back into the equation. Also your answer should be between 12 and 17, or possibly one of those numbers.
Step-by-step explanation: I hope this helps!! God Bless you. Have a great day!!!!
