Answer:
B. 3
Step-by-step explanation:
A common difference in an arithmetic sequence is the value the terms in the sequence vary from one to another.You can find one term to another by adding or subtracting the common difference.
In this case, the terms are 2,5,8,11,.....
From the first term to the second term, the difference is, 5-2=3
From the second term to the third term, the difference is, 8-5=3
From the third term to the fourth term the difference is=11-8=3
Hence the common difference in this arithmetic sequence is 3
Answer:
x=1.6
Step-by-step explanation:
Multiply each number by 4 to make wholes and than just cross multiply.
Answer:
The answer is 12 units.
Step-by-step explanation:
Looking at the figure we see that
and
Now from equations (1) and (2) we have values for and so we put those into the equation (3) and get:
Therefore the answer is 12 units.
Answer: (1/3,2)
Step-by-step explanation:
Let O(x,y) be the circumference of the triangle PQR,
Thus, by the property of circumcenter all the vertices of the triangle are at same distance from this circumcenter.
Thus, PO = QO
By the distance formula,
---------(1)
Similarly, QO = RO
------------(2)
By adding equation (1) and (2),
24 x = - 8
x = 1/3
By putting this value in equation (1),
We get,
Thus, 4 - 8 y = -12
8 y = 16
y = 2
Answer:
24
Step-by-step explanation:
The question is saying, how many three digit numbers can be made from the digits 3, 4, 6, and 7 but there can't be two of the same digit in them. For example 346 fits the requirements, but 776 doesn't, because it has two 7s.
Okay, on to the problem:
We can do one digit at a time.
First digit:
There are 4 digits that we can choose from. (3, 4, 6, and 7)
Second digit:
No matter which digit we chose for the first digit, there is only going to be 3 of them left, because we already chose one, and you can't repeat that same digit. So there are 3 options.
Third digit:
Using the same logic, there are only 2 options left.
We have 4 choices for the first digit, 3 choices for the second, and 2 for the third.
Hence, this is 4 * 3 * 2 = 24 three-digit numbers that can be made.