Answer:
10
Step-by-step explanation:
We want to find k when y=kx
2y = 20x
Divide each side by 2
2y/2 =20x/2
y = 10x
The constant of proportionality is 10
Answer:
1680 ways
Step-by-step explanation:
Total number of integers = 10
Number of integers to be selected = 6
Second smallest integer must be 3. This means the smallest integer can be either 1 or 2. So, there are 2 ways to select the smallest integer and only 1 way to select the second smallest integer.
<u>2 ways</u> <u>1 way</u> <u> </u> <u> </u> <u> </u> <u> </u>
Each of the line represent the digit in the integer.
After selecting the two digits, we have 4 places which can be filled by 7 integers. Number of ways to select 4 digits from 7 will be 7P4 = 840
Therefore, the total number of ways to form 6 distinct integers according to the given criteria will be = 1 x 2 x 840 = 1680 ways
Therefore, there are 1680 ways to pick six distinct integers.
Answer:
Hi there!
The domain is:
20<=x<=40
Step-by-step explanation:
This states that:
x>=20
x<=40
Which fits the problem!
Hope this helps
Answer:
by the distance formula
the points are (2,2) and (-2,7)
and subtituting d=sqrt((2-(-2))^2+(2-7)^2)
which is equal to sqrt of 41
and it is equal to 6.40
Answer:
LAST OPTION: 
Step-by-step explanation:
For this exercise it is important to remember the Power of a power property, which states that:

The expression given in the exercise is:

Therefore, in order to simplify it, you must apply the Power of a power property explained before.
Then, you get the following expression:

As you can notice, the expression obtained matches with the expression provided in the last option.