Answer:
The answer to your question is below
Step-by-step explanation:
2. 
Just find the prime factors of 128 and simplify
3.- 
Get the square roots and simplify
3i + 4i
7i
4.- None of the choices is equal to one, because the exponents are pair.
5.- 1/3x² + 10 = 7
1/3x² = 7 - 10
1/3x² = -3
x² = -3(3)
x² = -9
x = ±3i
Answer:
The coordinates of point B are : (-1, 1)
Step-by-step explanation:
You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.
Then you create the equations 
you substitute -7 for +7 and add 7 to -8 which gives -1 (
) and subtract 1 from 2 which gives you 1 (
)
To check your answer use the midpoint formula 
which gives you your midpoint (-4,1)
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.
(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify
Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2
The solution is x = 1/2.
_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
(4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
(49/9)x + 7/3 = 91/18
(49/9)x = 49/18 . . . . . . . subtract 7/3
x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
Answer: smaller x = -4/3
larger x = -1
Step-by-step explanation:
