Answer:
1) x= -36.
2) x = 0.
Step-by-step explanation:
1) Taking the 3rd power to both sides and using the following exponent law:
we get:
So this tells us that x = -36.
2) We can distribute the power inside every term. So the left side becomes:
Now, the trick here is to remember that 
, so replacing 1 with 
, which then gives us:
, telling us that 3x = 0 and thus, x = 0.
9.75 dollars divided by 3 pounds equals 3.25 per pound
Inserting all the given information into the identity, we have
Answer:
x=32 so one solution only
Step-by-step explanation:
6(x-8)+10=5x-6
6x-48+10=5x-6
6x-38=5x-6
x-38=-6
x=32
Therefore, the equation only has one solution which is x=32
This question is about Pythagorean theorem, a square + b square = c square
Where a and b represents either leg of the triangle (width or height), and c represents the hypotenuse (the diagonal)
Let height = h
For the question above, the equation will be
36 square + h square = 45 square
Subtract 36 square from both sides
36 square - 36 square + h square= 45 square - 36 square
h square = 2025 - 1296
h square = 729
Find the square root of both sides
Square root of h square = square root of 729
h = 27
The height of the television is 27
