<span>The diagonals of a parallelogram bisect each other.
So we just equate the two equations BE and DE
2x^2 - x = x^2 + 6
2x^2 - x - x^2 - 6 = 0
x^2 - x - 6 = 0
This is quadratic eqn. So we obtain.
(x - 3) ( x + 2) = 0
Setting each to 0 and solving for x, we have that x = 3 and x = -2
So we have two possible values for BD.
But Since BE = DE then we can simply double each
If x = 3 BD = 2 (2(3)^2 - 3) = 2 ( 18 - 3) = 30 units
If x = - 2 BD = 2((-2)^2 -3 ) = 2 (8 - 3) = 10 units</span>
Steps:
1. since the least common multiple of 8 and 4 is 8, you would have to make both of the denominators 8.
2. 2 times 4 equals 8, 2 times 3 equals 6
3. 35 3/4 now becomes 35 6/8
4. your new problem is 35 6/8 - 1/8
5. 6 -1= 5
6. your answer is 35 5/8
Answer:
Measure of Data Dispersion
Step-by-step explanation:
Standard deviation is used to show the variation and dispersion in a group of data. It shows how separated the data's are to each other and how each data can be related to the other.
A normal data distribution are those group of data, that are distributed in a wide range. The standard deviation helps to to measure how they are been spread out.
Standard deviation does not measure the shape, quality, and center of data. This are measured with graphs, range, mean and median.
Answer:
D. 5 +6k/n
Step-by-step explanation:
The width of the interval is (5 -2) = 3. The width of one of n parts of it will be ...
3/n
Then the difference between the left end point of the interval and the value of x at the right end of the k-th rectangle will be ...
k·(3/n) = 3k/n
So, the value of x at that point is that difference added to the interval's left end:
2 + 3k/n
The value of the function for this value of x is ...
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes
