Solution:
Given that the point P lies 1/3 along the segment RS as shown below:
To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have
Using the section formula expressed as
In this case,
where
Thus, by substitution, we have
Hence, the y-coordinate of the point P is
Answer:
-1
Step-by-step explanation:
We need to simplify the given expression . The given expression is ,
Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,
Using this property , we have ,
This can be written as ,
Simplifying using ( a+b)(a-b) = a² - b² ,
Subtracting the numbers inside the brackets ,
Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .
Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>