Answer:

Step-by-step explanation:
Multiply numerator and denominator by √2

Answer:
A solution that results in a false statement when substituted back into the original equation.
Step-by-step explanation:
An extraneous solution is one that arises in a solution of equations, but which on closer inspection is not a solution to the original equation. Therefore, they imply an error in the development of the solution of the equation, so they cannot be taken as a valid solution since, when replacing the result with the missing variable, the equation does not obtain the desired result.
Options
The circle at the new location has _____________ the original circle.
- the same center as
- twice the circumference of
- half the radius of
- the same area as
Answer:
the same area as
Step-by-step explanation:
When a circle is translated and reflected, the center of the circle will change; however, its area, circumference, radius and diameter remain the same.
This is so because, translation and reflection only affect the positioning of the circle not the size.
Considering the above analysis, we can conclude that option d answers the question correctly.
Answer:
The correct answer is option D: 
Step-by-step explanation:
Given:
log(y)= 3.994
Solution:
A logarithm base b of a positive number x satisfies the following definition:

For 
Also if no base b is indicated, the base of the logarithm is assumed to be 10
.
Thus, in log(y)= 3.994 base b is not indicated. so its base is assumed to be 10
now

Then

Answer:
first one: 3 1/3 = 7/3 second: 2 3/4 = 11/4
third one: 3 1/3 + 2 3/4 = 10/3 + 11/4 = 40/12 + 44/12
there fore the answer is: 84/12 or 7
this may help you the first one question only.