Answer:
Compare LHS and RHS to prove the statement.
Step-by-step explanation:
Given: a + b + c = 0
We have to show that
We take LCM, simplify the terms and compare LHS and RHS. We will see that LHS = RHS and the statement will be proved.
Taking LCM, we get:
= 1
⇒
We simplify each term and then compare LHS and RHS.
Simplifying the first term:
=
=
Now, we simplify the second term we have:
=
=
Again, simplifying ,
=
= (C)
Therefore, LHS = A + B + C
=
Similarly. RHS
=
Note that if a + b + c = 0,
So, RHS =
We see that LHS = RHS.
Therefore, the statement is proved.
Answer:
Step-by-step explanation:
yes.
x/y is a rational number
because xxby y is irrational that why x/y is rational number
Answer:
(-1, -1) and (2, 2)
Step-by-step explanation:
Substitute for y in the first equation and solve the quadratic.
x = x^2 -2
x^2 -x -2 = 0 . . . . subtract x
(x -2)(x +1) = 0 . . . .factor
Solutions are the values of x that make these factors be zero:
x = 2, x = -1
Since y=x, the solutions are ...
(x, y) = (-1, -1) and (2, 2)
Answer:
(c) 16/9·π²·r⁶
Step-by-step explanation:
The water displaced is equivalent to the volume of the sphere, given as
V = (4/3)π·r³
The product of two identical displaced volumes will be ...
V² = ((4/3)π·r³)² = (4/3)²·π²·r⁶
= 16/9·π²·r⁶ . . . . . . matches choice (c)