Answer:
BE=AD
Step-by-step explanation:
Answer:
4(k - 3)(3k + 5)
Step-by-step explanation:
Given
12k² - 16k - 60 ← factor out 4 from each term
= 4(3k² - 4k - 15) ← factor the quadratic
Consider the factors of the product of the coefficient of the k² term and the constant term which sum to give the coefficient of the k term
product = 3 × - 15 = - 45 , sum = - 4
Factors are - 9 and + 5
Use these factors to split the middle term
3k² - 9k + 5k - 15 → ( factor the first/second and third/fourth terms
= 3k(k - 3) + 5(k - 3) ← factor out (k - 3)
= (k - 3)(3k + 5)
Hence
12k² - 16k - 60 = 4(k - 3)(3k + 5) ← in factored form
Answer: 2.7777 hours
Step-by-step explanation: Here, we're asked to convert 10,000 seconds into hours.
Unfortunately, we don't have a conversion factor for seconds and hours. However, we know that 60 seconds = 1 minute and 60 minutes = 1 hour.
So we can convert 10,000 seconds into hours by using both of these conversion factors. Also, it's important to understand that when we go from a smaller unit, seconds, to a larger unit, hours, we divide.
So let's first convert 10,000 seconds into minutes by dividing 10,000 by the conversion factor, 60, to get 166.6666 minutes.
Next, we convert minutes to hours by dividing 166.6666 by the conversion factor, 60, to get 2.7777 hours.
So 10,000 seconds is approximately equal to 2.7777 hours.
Answer:
x=-8
Step-by-step explanation:
I always change the decimals into whole numbers by multiplying them by 10. If you do this, it is much easier to solve. All you do is multiply every term by 10.
the equation changes to
-5(x+3)-2x=41
-5x-15-2x=41
combine like terms
-7x-15=41
bring the 15 over to the 41
-7x=56
divide everything by 7
-x=8
change x to a positive
x=-8
The submarine is now 617.5 feet below sea level, or at -617.5 feet. the temperature is now at 65 9/20
you have to add the first values with the second values :)
