Answer:
5/2 x^2y^2
Step-by-step explanation:
( x^2 - 3/5y^2)^2 + (3/4 x^2 + 4/5 y^2)^2 - (5/4x^2 - y^2)^2
= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4 - ( 25/16x^4
- 5/2x^2y^2 + y^4)
Distributing the negative over the parentheses:-
= x^4 - 6/5x^2y^2 + 9/25y^4 + 9/16x^4 + 6/5x^2y^2 + 16/25y^4
- 25/16x^4
+ 5/2x^2y^2 - y^4
Bringing like terms together
x^4 + 9/16x^4 - 25/16x^4 - 6/5x^2y^2 + 6/5x^2y^2 + 5/2x^2y^2 + 16/25y^4 + 9/25y^4
- y^4
Adding like terms:-
= 5/2 x^2y^2 Answer
Answer:
Yes.
Step-by-step explanation:
The relation would be 3 = k*9 as there is a direct proportional relationship.
So k = 3/9 = 1/3 and we can write the relation as d = 1/3 t where d=distance and t = time.
So if we double the time t we have:-
d = 1/3 * 18
= 6 kilometers.
So the distance is doubled.
Answer:
0 = 4x
Step-by-step explanation:
-2(2 - 2x) = 4 - 8(1 - x)
-4 + 4x = 4 - 8 + 8x
-4 + 4x = -4 + 8x
-4 + 4 = 8x - 4x
0 = 4x
The value of x will be equal to 2.477.
<h3>What is a logarithm?</h3>
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.
The given expression will be solved as follows;-

Taking Log on both sides.

(x-2) Log5 = Log 8
( x-2) = Log8 / Log 5
(x - 2) = Log 8 - Log 5
(x - 2 ) = Log 3
x-2 = 0.477
x = 2.477
Therefore the value of x will be equal to 2.477.
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Answer
Yes
Explanation
I just know