Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
Answer: 0.1714 miles / hour
Step-by-step explanation:
Given the following :
Distance to the store = 3 miles
Time taken to get to store = 12 hours
Time taken to return = 23 hours
The average rate of speed for the trip =?
Average Speed = total distance traveled / total time taken
Total distance traveled = 2 × 3 miles = 6 miles
Total time taken = 12 + 23 = 35 hours
Average speed = 6 miles / 35 hours
Average speed = 0.1714 miles / hour
Answer: 564480 arrangements
Step-by-step explanation:
First, let's consider the French and English delegates as one party because they will sit next to each other.
So total delegates if French and English are always together comes out to be 9 instead of 10.
Now, they are to sit in a row and can have different seats so the total number of ways they can sit is= 2 x 9!= 725760 ways.
Now, when Russian and U.S delegates are not to sit next to each other so consider similarly like before consider them as one unit like French and English. Now they can also change their seats so number of way for them= 2 x 2 x 8!= 161280 ways
To find out when French and English delegates are together and Russain and U.S delegates are not together we subtract the way from the original value.
725760-161280= 564480 way.
Two sides are same so that would be isosceles triangle. So then you would add up all angles and get this equation: 180 = 38 + x + x
2x = 142
x = 71
So the value of x is 71.
