Answer:
-1/6 and 1 1/6
I included an image showing the points to select, in red and the point we start at, in blue.
Step-by-step explanation:
We need to get the numbers they tell us (2/3 & 1/2) to have the same denominators as the numbers on the number line before we can start.
1/2 is just the simplified form of 3/6 and 2/3 is just the simplified form of 4/6.
So 1/2 is actually 3/6 on the number line.
Now we need to find the numbers that are 2/3 (or 4/6) unit away from 3/6.
Count 4 units to the right and 4 to the left of 3/6 to get the numbers we are looking for.
These numbers are -1/6 and 1 1/6
I hope this helps!!
Lmk if u have any questions! :)
Pic is attached below.
Answer:
See the proof below.
Step-by-step explanation:
For this case we need to proof the following indentity:

So we need to begin with the definition of tangent, we know that
and we can do this:
(1)
We also have the following identities:


Now we can apply those identities into equation (1) like this:
(2)
We can divide numerator and denominator from expression (2) by
we got this:

And simplifying we got:

And that complete the proof.
Answer:
4x +10
Step-by-step explanation:
-2(x-5) +6x
-2x +10 +6x
4x +10
Answer:
yes
Step-by-step explanation:
We are given that a Cauchy Euler's equation
where t is not equal to zero
We are given that two solutions of given Cauchy Euler's equation are t,t ln t
We have to find the solutions are independent or dependent.
To find the solutions are independent or dependent we use wronskain

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.
Let 


where t is not equal to zero.
Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.
Hence, the set {t , tln t} form a fundamental set of solutions for given equation.
Answer:
2
just solve it and it will come out