Answer:
6 √2 -4 √3
Step-by-step explanation:
Here, we want to rationalize the denominator of the following surdic fraction;
2√6/(√2 + √3)
To rationalize this, we have to multiply the numerator and the denominator by the conjugate of the denominator
The conjugate of the denominator is √2 - √3
So, we have the rationalization as follows;
2 √6(√2-√3)/(√2 + √3)(√2-√3)
Thus, we have
(4√3-6 √2)/(-1)
= 6 √2 -4 √3
Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
![\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C-3%260%5C%5C0%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D)
Remember these rules:
- Each x value, or input, has its unique y value, or output
- If you draw a vertical line anywhere on the graph, it should only go through one point
We can check these two rules for this graph:
- Does each x value have its own, unique y value? Yes
- If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps
Keep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
Step-by-step explanation:
To find the formula for the nth term ,
First , find the common difference or common ratio.
Common difference =

Common ratio =

The common difference applies to the other given numbers for example :

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is
T_n =a(n-1)d
Where n = no of terms
a= first term
d= common difference
Answer and Explanation:
Since this is a 30-60-90 triangle, you can use the ratio of side lengths specific to this type of triangle:
x = 4√(2)
y = 2(4) = 8
because where 4 = T,
x = T√2 and y = 2T
so again:

The correct answer is a. 47.10 - 25 + d = 97.43.
This is because you have to subtract the $25, because it is a withdrawal, or taking out of money.
This rules out options C and D.
Also, Tina made a deposit of an amount that she can't remember. A deposit is adding a certain amount of money, so you have to +d.
This rules out option B.
The only option left is option A, which makes complete sense.